Step-by-step Maths Level 4: Fractions on a 0 to 1 number line
Part of the Step-by-step Maths Level 4 fractions of wholes and equivalent fractions chapter. Chapter overview · whole chapter on one page
Fractions on a 0 to 1 number line
A fraction is a number. On a line from 0 to 1, a fraction is the distance from 0 to 1 in equal jumps.
Count the equal parts from 0 to 1. Count the jumps to the dot. The fraction is the number of jumps over the number of parts.
Key ideas
- A fraction is a number between 0 and 1.
- The bottom number is the number of equal jumps from 0 to 1.
- Count the jumps from 0 to the point.
Method. Count the equal parts from 0 to 1, then count how many parts there are to the dot.
- Count the equal parts from 0 to 1. The line is split into 4 equal parts.4 equal parts
- Count the parts from 0 to the dot. The dot is after 3 parts.3 parts
- Write the fraction. Parts from 0 over the total parts.3/4
Check. Check: 3 parts out of 4 is the same distance as the dot from 0.
Watch out. Count the jumps, not the marks.
Method. Count the equal parts from 0 to 1, then count the parts to the dot.
- Count the equal parts from 0 to 1. The line has 2 equal parts.2 equal parts
- Count the parts from 0 to the dot. The dot is after 1 part.1 part
- Write the fraction. Parts from 0 over the total parts.1/2
Check. Check: 1/2 is halfway between 0 and 1.
Watch out. Halfway along a 0 to 1 line is one half.
Method. Count the equal parts from 0 to 1, then count the parts to the dot.
- Count the equal parts from 0 to 1. The line has 3 equal parts.3 equal parts
- Count the parts from 0 to the dot. The dot is after 2 parts.2 parts
- Write the fraction. Parts from 0 over the total parts.2/3
Check. Check: 2/3 is more than 1/2 and less than 1.
Watch out. Count the jumps, not the marks.
Watch out
Watch out. 1/4 is closer to 0 than 1/2 is. The more parts a line has, the smaller each part is.
Exam tip
Grown-up tip. Draw a line from 0 to 1 on paper, split it into 4 equal parts, and ask the child to mark 3/4.
Exercise 7E Practice: fractions on a number line
Non-calculatorMethod. Count the equal parts from 0 to 1, then count how many parts there are to the dot.
- Count the equal parts from 0 to 1. The line is split into this many equal parts.4 equal parts
- Count the parts from 0 to the dot. The dot is after this many parts.1 parts
- Write the fraction. Parts from 0 over the total parts.1/4
Check. Check: 1 parts out of 4 is the same distance as the dot from 0.
Watch out. The number line is split into equal parts. Count the jumps, not the marks.
Method. Count the equal parts from 0 to 1, then count how many parts there are to the dot.
- Count the equal parts from 0 to 1. The line is split into this many equal parts.5 equal parts
- Count the parts from 0 to the dot. The dot is after this many parts.3 parts
- Write the fraction. Parts from 0 over the total parts.3/5
Check. Check: 3 parts out of 5 is the same distance as the dot from 0.
Watch out. The number line is split into equal parts. Count the jumps, not the marks.
Method. Count the equal parts from 0 to 1, then count how many parts there are to the dot.
- Count the equal parts from 0 to 1. The line is split into this many equal parts.8 equal parts
- Count the parts from 0 to the dot. The dot is after this many parts.6 parts
- Write the fraction. Parts from 0 over the total parts.6/8
Check. Check: 6 parts out of 8 is the same distance as the dot from 0.
Watch out. The number line is split into equal parts. Count the jumps, not the marks.
Method. Count the equal parts from 0 to 1, then count how many parts there are to the dot.
- Count the equal parts from 0 to 1. The line is split into this many equal parts.10 equal parts
- Count the parts from 0 to the dot. The dot is after this many parts.4 parts
- Write the fraction. Parts from 0 over the total parts.4/10
Check. Check: 4 parts out of 10 is the same distance as the dot from 0.
Watch out. The number line is split into equal parts. Count the jumps, not the marks.
Method. Count the equal parts from 0 to 1, then count how many parts there are to the dot.
- Count the equal parts from 0 to 1. The line is split into this many equal parts.10 equal parts
- Count the parts from 0 to the dot. The dot is after this many parts.1 parts
- Write the fraction. Parts from 0 over the total parts.1/10
Check. Check: 1 parts out of 10 is the same distance as the dot from 0.
Watch out. The number line is split into equal parts. Count the jumps, not the marks.
Method. Count the equal parts from 0 to 1, then count how many parts there are to the dot.
- Count the equal parts from 0 to 1. The line is split into this many equal parts.5 equal parts
- Count the parts from 0 to the dot. The dot is after this many parts.2 parts
- Write the fraction. Parts from 0 over the total parts.2/5
Check. Check: 2 parts out of 5 is the same distance as the dot from 0.
Watch out. The number line is split into equal parts. Count the jumps, not the marks.
Method. Count the equal parts from 0 to 1, then count how many parts there are to the dot.
- Count the equal parts from 0 to 1. The line is split into this many equal parts.4 equal parts
- Count the parts from 0 to the dot. The dot is after this many parts.1 parts
- Write the fraction. Parts from 0 over the total parts.1/4
Check. Check: 1 parts out of 4 is the same distance as the dot from 0.
Watch out. The number line is split into equal parts. Count the jumps, not the marks.
Method. Count the equal parts from 0 to 1, then count how many parts there are to the dot.
- Count the equal parts from 0 to 1. The line is split into this many equal parts.3 equal parts
- Count the parts from 0 to the dot. The dot is after this many parts.1 parts
- Write the fraction. Parts from 0 over the total parts.1/3
Check. Check: 1 parts out of 3 is the same distance as the dot from 0.
Watch out. The number line is split into equal parts. Count the jumps, not the marks.
Method. Count the equal parts from 0 to 1, then count how many parts there are to the dot.
- Count the equal parts from 0 to 1. The line is split into this many equal parts.2 equal parts
- Count the parts from 0 to the dot. The dot is after this many parts.1 parts
- Write the fraction. Parts from 0 over the total parts.1/2
Check. Check: 1 parts out of 2 is the same distance as the dot from 0.
Watch out. The number line is split into equal parts. Count the jumps, not the marks.
Method. Count the equal parts from 0 to 1, then count how many parts there are to the dot.
- Count the equal parts from 0 to 1. The line is split into this many equal parts.10 equal parts
- Count the parts from 0 to the dot. The dot is after this many parts.5 parts
- Write the fraction. Parts from 0 over the total parts.5/10
Check. Check: 5 parts out of 10 is the same distance as the dot from 0.
Watch out. The number line is split into equal parts. Count the jumps, not the marks.
Method. Count the equal parts from 0 to 1, then count how many parts there are to the dot.
- Count the equal parts from 0 to 1. The line is split into this many equal parts.10 equal parts
- Count the parts from 0 to the dot. The dot is after this many parts.5 parts
- Write the fraction. Parts from 0 over the total parts.5/10
Check. Check: 5 parts out of 10 is the same distance as the dot from 0.
Watch out. The number line is split into equal parts. Count the jumps, not the marks.
Method. Count the equal parts from 0 to 1, then count how many parts there are to the dot.
- Count the equal parts from 0 to 1. The line is split into this many equal parts.8 equal parts
- Count the parts from 0 to the dot. The dot is after this many parts.2 parts
- Write the fraction. Parts from 0 over the total parts.2/8
Check. Check: 2 parts out of 8 is the same distance as the dot from 0.
Watch out. The number line is split into equal parts. Count the jumps, not the marks.
Method. Count the equal parts from 0 to 1, then count how many parts there are to the dot.
- Count the equal parts from 0 to 1. The line is split into this many equal parts.10 equal parts
- Count the parts from 0 to the dot. The dot is after this many parts.4 parts
- Write the fraction. Parts from 0 over the total parts.4/10
Check. Check: 4 parts out of 10 is the same distance as the dot from 0.
Watch out. The number line is split into equal parts. Count the jumps, not the marks.
Method. Count the equal parts from 0 to 1, then count how many parts there are to the dot.
- Count the equal parts from 0 to 1. The line is split into this many equal parts.4 equal parts
- Count the parts from 0 to the dot. The dot is after this many parts.2 parts
- Write the fraction. Parts from 0 over the total parts.2/4
Check. Check: 2 parts out of 4 is the same distance as the dot from 0.
Watch out. The number line is split into equal parts. Count the jumps, not the marks.
Method. Count the equal parts from 0 to 1, then count how many parts there are to the dot.
- Count the equal parts from 0 to 1. The line is split into this many equal parts.4 equal parts
- Count the parts from 0 to the dot. The dot is after this many parts.3 parts
- Write the fraction. Parts from 0 over the total parts.3/4
Check. Check: 3 parts out of 4 is the same distance as the dot from 0.
Watch out. The number line is split into equal parts. Count the jumps, not the marks.
Method. Count the equal parts from 0 to 1, then count how many parts there are to the dot.
- Count the equal parts from 0 to 1. The line is split into this many equal parts.2 equal parts
- Count the parts from 0 to the dot. The dot is after this many parts.1 parts
- Write the fraction. Parts from 0 over the total parts.1/2
Check. Check: 1 parts out of 2 is the same distance as the dot from 0.
Watch out. The number line is split into equal parts. Count the jumps, not the marks.