The fractions that use the least common denominator and are equivalent to 9/10 and 5/6 are 27/30 and 25/30 respectively
Given:
9/10
5/6
find the least common multiple of the denominators 10 and 6
10 = 10, 20, 30, 40, 50
6 = 6, 12, 18, 24, 30, 36, 42
The least common multiple is 30
find an equivalent fraction that has 30 as the denominator using x as numerator
9/10 = x/30
9 × 30 = 10 × x
270 = 10x
x = 270/10
x = 27
5/6 = x/30
5 × 30 = 6 × x
150 = 6x
x = 150/6
x = 25
Therefore, the pair of fractions that use the least common denominator and are equivalent to 9/10 and 5/6 are 27/30 and 25/30 respectively
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