Question

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Answer 1

Answer:

The reciprocal of each mixed number.

$6\frac{3}{4}$ ⇔ $\frac{4}{27}$

$2\frac{1}{4}$ ⇔ $\frac{4}{9}$

$1\frac{3}{4}$ ⇔ $\frac{4}{7}$

Step-by-step explanation:

Given:

Three mixed number are given:

$6\frac{3}{4}$, $2\frac{1}{4}$ and $1\frac{3}{4}$

Find reciprocal of each mixed number.

Solution:

The reciprocal of the number is 1 divided by number.

$6\frac{3}{4}=\frac{4\times 6 +3}{4}=\frac{24+3}{4}=\frac{27}{4}$

So, the reciprocal of the $\frac{27}{4}\ is\ \frac{4}{27}$

$2\frac{1}{4}=\frac{4\times 2 +1}{4}=\frac{8+1}{4}=\frac{9}{4}$

So, the reciprocal of the $\frac{9}{4}\ is\ \frac{4}{9}$

$1\frac{3}{4}=\frac{4\times 1 +3}{4}=\frac{4+3}{4}=\frac{7}{4}$

So, the reciprocal of the $\frac{7}{4}\ is\ \frac{4}{7}$