Question

I need help with a test

Answer 1

Step 1: Write out the fractions

$\frac{4}{5}\text{ and }\frac{1}{10}$

Step 2: Find the LCM of their denominators

2 | 5 | 10

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5 | 5 | 5

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| 1 | 1

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Therefore the LCM of 5 and 10 is 2 x 5 = 10

Step 3: For each of the fraction multiply the numerator with the quotient of 10 and the denominator.

For the fraction 4/5:

$\text{quotient of 10 and 5 is }\frac{10}{5}=2$$2\times4=8$

Therefore,

$\frac{4}{5}=\frac{8}{10}$

For the fraction 1/10:

$\text{quotient of 10 and 10 is }\frac{10}{10}=1$$1\times1=1$

Therefore,

$\frac{1}{10}=\frac{1}{10}$

Thus, the pair of fractions with the same denominator is 1/10 and 8/10