Equivalent fractions · Grade 5
In Grade 5 you learn: equivalent fractions in ratio and algebra.
Equivalent fractions look different but stand for the same amount: 1/2, 2/4 and 5/10 all cover half of a shape. Spotting them lets you simplify answers, compare fractions and, later, add them.
Key facts
- Multiply or divide the top AND the bottom by the same number to make an equivalent fraction.
- Adding the same number to the top and bottom does NOT keep a fraction the same: 1/2 is not equal to 2/3.
- To compare fractions, rewrite them with the same denominator.
Worked examples
Example 1
Find the missing number n: 3/4 = n/20
Answer: 15
Example 2
Write 36/48 in its simplest form.
Answer: 3/4
Example 3
Which is bigger: 5/6 or 7/9?
Answer: 5/6
Example 4
2/3 = p/15 = 18/q. Find p + q.
Answer: 37