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 fractio…

Question

asked Apr 7, 2022 75.1k views

1 Answer

Nabat Farsi · Answer 1 · 2022-04-13T08:56:59+0000

Answer:

((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))