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Name a pair of fractions that use the least common denominator and are equivalent to 9/10 and 5/6

Sagot :

ColeSparkz
The Lowest Common Denominator is 30
9/10 = 27/30
5/6 = 25/30
adioabiola

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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