Mathematics: A mug is 1/8 full. The mug contains 1/6 of a cup of water. Find the capacity of the mug. Write the answer as a fration or mixed number

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A mug is 1/8 full. The mug contains 1/6 of a cup

hellothere2458

26.04.2021

The capacity of the mug = $1\frac{1}{3}$ cups

Step-by-step explanation:

Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water.

To find - Find the capacity of the mug. Write the answer as a fraction or mixed number

Proof -

Let the capacity of water = x

Given that,

A mug is $\frac{1}{8}$ full of water

⇒Total cups of water in the mug = $\frac{1}{8} x$

Now,

Given that, The mug contains $\frac{1}{6}$ of a cup of water.

∴ we get

$\frac{1}{8} x$ = $\frac{1}{6}$

⇒x = $\frac{1}{6}$ × 8

= $\frac{8}{6}$

= $\frac{4}{3}$ = $1\frac{1}{3}$

⇒x = $1\frac{1}{3}$

∴ we get

The capacity of the mug = $1\frac{1}{3}$ cups

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