Question

Which of the following fractions are incorrectly scaled up?
$Fraction1:\frac{5}{6}\times \frac{2}{2}=\frac{7}{8}$
$Fraction2:\frac{6}{8}\times \frac{4}{4}=\frac{24}{32}$
$Fraction3:\frac{6}{9}\times \frac{3}{3}=\frac{9}{11}$

• A. Both fraction $1$ and fraction $2.$
• B. Both fraction $1$ and fraction $3.$
• C. Only fraction $1.$
• D. Only fraction $2.$

Answer 1

The correct option is B Both fraction $1$ and fraction $3.$

Let’s look at the fractions one by one.
Fraction $1$:
Both the numerator $\left(5\right)$ and denominator $\left(6\right)$ are scaled up by two times.
$\frac{5}{6}\times \frac{2}{2}=\frac{10}{12}$
We can see that fraction $1$ is incorrectly scaled up.

Fraction $2$:
Both the numerator $\left(6\right)$ and denominator $\left(8\right)$ are scaled up by four times.
$\frac{6}{8}\times \frac{4}{4}=\frac{24}{32}$
So, fraction $2$ is scaled up correctly.

Fraction $3$:
Both the numerator $\left(6\right)$ and denominator $\left(9\right)$ are scaled up by three times.
$\frac{6}{9}\times \frac{3}{3}=\frac{18}{27}$
So, fraction $3$ is scaled up incorrectly.