# Question #6baff

Jan 26, 2017

See explanation...

#### Explanation:

$N$ is short for Numerator.

$D$ is short for Denominator.

Fractions typically take the form $\frac{N}{D}$ where $N$ is the numerator and $D$ the denominator.

In a reduced fraction, the numerator and denominator have no common factor larger than $1$.

So in the given example, Tanya calculated:

$\frac{76}{91} \times \frac{7}{19} = \frac{76 \times 7}{91 \times 19} = \frac{4 \times \textcolor{red}{\cancel{\textcolor{b l a c k}{19}}} \times \textcolor{g r e e n}{\cancel{\textcolor{b l a c k}{7}}}}{\textcolor{g r e e n}{\cancel{\textcolor{b l a c k}{7}}} \times 13 \times \textcolor{red}{\cancel{\textcolor{b l a c k}{19}}}} = \frac{4}{13}$

So:

$N = 4$, $D = 13$ and $N + D = 17$