Question

Miguel walked Ask Your Teacher mile to the library and then Ask Your Teacher mile to the post office. How can he write Ask Your Teacher and Ask Your Teacher as a pair of fractions with a common denominator?

Answer 1

`((5)/(10),(6)/(10))`

Explanation:

Given

`Library \to (1)/(2)`

`Post\ Office \to (3)/(5)`

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Required

Write as a common denominator

Take the denominator of both fractions

`2 \to`

`5 \to`

Calculate the LCM

`2 \to 1 * 2`

`5 \to 1 * 5`

`LCM = 1 * 2 * 5`

`LCM = 10`

Multiply the numerator and the denominator of both fractions by 10

Simplify each to ensure a denominator of 10

`(1)/(2) \to (1)/(2) * (10)/(10) \to (1)/(1) * (5)/(10) \to (5)/(10)`

`(3)/(5) \to (3)/(5) * (10)/(10) \to (3)/(1) * (2)/(10) \to (6)/(10)`

Hence, the pair is:

`((5)/(10),(6)/(10))`