Question

Multiply: $\frac{7}{12}$$\times \frac{5}{12}=$

• A. $\frac{35}{144}$
• B. $\frac{144}{35}$
• C. $\frac{84}{60}$

Answer 1

The correct option is A $\frac{35}{144}$

Given fraction: $\frac{7}{12}\text{and}\frac{5}{12}$

The first step when multiplying fractions is to multiply the two numerators.
$\frac{7}{12}\times \frac{5}{12}=\frac{7\times 5}{12\times 12}=\frac{35}{12\times 12}$

The second step is to multiply the two denominators.
$\frac{7\times 5}{12\times 12}=\frac{35}{12\times 12}=\frac{35}{144}$

Finally, simplify the new fractions.
$\frac{35}{144}=\frac{5\times 7}{2\times 2\times 2\times 2\times 3\times 3}$
The numerator and denominators have no common factors, so this fraction cannot be further simplified

$\therefore \frac{7}{12}\times \frac{5}{12}=\frac{35}{144}$