Question

Find the value of the product $3\frac{1}{4}\times \frac{12}{39}$.

Answer 1

Multiplication of fractions

The given product $3\frac{1}{4}\times \frac{12}{39}$

First converting the mixed fraction into improper fraction,

$3\frac{1}{4}\times \frac{12}{39}$ $=$ $\frac{13}{4}\times \frac{12}{39}$ $\left(\therefore \frac{3\times 4+1}{4}=\frac{13}{4}\right)$

Now, multiplying the numerators and denominators.

$\frac{13}{4}\times \frac{12}{39}$ $=$$\frac{13\times 12}{4\times 39}$

$=$$\frac{156}{156}$

$=$$1$

Therefore, the value of the product $3\frac{1}{4}\times \frac{12}{39}$ is $1$