Cut each part of the top bar into 4 equal parts. There are more parts and each is smaller, but the shaded length is the same.
Fill in the missing number so both fractions name the same amount.
You start with a fraction in simplest form that is less than 1, with a denominator of 2, 3, 4, 5, 6, 8, 10 or 12. The new fraction has more, smaller pieces: its top and bottom are both multiplied by the same number, from 2 to 10.
Sometimes the top is missing and sometimes the bottom.
Typical level: Grade 4 and beyondStudents meet simple equivalent fractions in Grade 3 and, in Grade 4, learn to generate them by working with the numerator and denominator. Curriculum timing varies.
Cut each part of the top bar into 4 equal parts. There are more parts and each is smaller, but the shaded length is the same.
Both numbers grow by the same factor: 3 × 4 = 12 pieces in the whole, and 1 × 4 = 4 of them shaded. To fill a blank, find the multiplier from the number you are given, then use it on the other number.
The bottom is given, so compare the two bottoms to find the multiplier.
one third = a missing number over 12
The bottom went from 3 to 12, so the multiplier is 4.
Do the same to the top.
The top is given, so compare the two tops to find the multiplier.
two fifths = 8 over a missing number
The top went from 2 to 8, so the multiplier is 4.
Do the same to the bottom.
Adding does not work: adding 1 to the top and bottom of one half gives two thirds, which is a different amount. Multiply both numbers by the same number instead.