Question

Change the given mixed fraction into an improper fraction $:$ $3\frac{2}{7}$

Answer 1

Converting mixed fraction into an improper fraction:

Multiply the whole number part by the fraction’s denominator

Given mixed fraction is $3\frac{2}{7}$

Here‚ whole number is $3$ and the proper fraction is $\frac{2}{7}$

$3$$\times$$7$$=$$21$

Add the numerator to the product of $3$$\times$$7$

$21$$+2$$=$$23$

Write the result on top of the denominator

$\frac{23}{7}$

As an alternative ‚ we can do all $3$ steps together $:$

$3\frac{2}{7}$$=$$\frac{\left(3\times 7\right)+2}{7}$ $=$ $\frac{\left(21\right)+2}{7}$ $=$$\frac{23}{7}$

Hence‚ $\frac{23}{7}$is the improper fraction of the mixed fraction $3\frac{2}{7}$