Add the fractions below, and express the answer in its lowest terms. $\frac { 10 } { 90 } + \frac { 1 } { 9 }$
A) $\frac { 2 } { 1 }$
B) $\frac { 2 } { 9 }$
C) $\frac { 9 } { 10 }$
D) none of these

Question

Quizplus · Accepted Answer

We can start by finding a common denominator of 90 for both fractions. To do this, we need to multiply the denominator of the second fraction, 9, by 10, to get 90. And if we multiply the denominator by 10, we need to multiply the numerator by 10 as well, to keep the fraction equivalent. So we have:

$$\frac{10}{90} + \frac{1 \cdot 10}{9 \cdot 10} = \frac{10}{90} + \frac{10}{90} = \frac{20}{90}$$

Now we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 10. So:

$$\frac{20}{90} = \frac{2}{9}$$

Therefore, the answer is B, $\frac{2}{9}$.

Add the Fractions Below, and Express the Answer in Its 1090+19\frac { 10 } { 90 } + \frac { 1 } { 9 }9010​+91​

Add the Fractions Below, and Express the Answer in Its $\frac { 10 } { 90 } + \frac { 1 } { 9 }$