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Answer:

3/4 = 15/20 and 7/10 = 14/20

Step-by-step explanation:

the least common denominator for these fractions is 20 so multiply 7/10 by two and 3/4 by 5 so that they both get denominators of 20

  • To be able to rewrite the fractions 3/4 and 7/10 as fractions with a least common denominator we have to find the Least Common Denominator of the denominators 4 and 10

  • Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple or denominator.

Multiples of 4:

4, 8, 12, 16, 20, 24, 28

Multiples of 10:

10, 20, 30, 40

Therefore,

LCD(4, 10) = 20

  • For Fraction 3/4 we multiply both denominator and numerator by 5

3 x 5 / 4 x 5

= 15/20

  • For fraction 7/10, we multiply both denominator and numerator by 2

7 x 2 / 10 x 2

= 14/20

Therefore,

3/4 = 15/20

7/10 = 14/20

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