Question

add. (\frac{3}{10} + \frac{3}{4}) write your answer as a fraction in simplest form.

Explanation:

Step1: Find a common denominator

The denominators are 10 and 4. The least common denominator (LCD) of 10 and 4 is 20.
Rewrite the fractions with the LCD:
$\frac{3}{10} = \frac{3\times2}{10\times2} = \frac{6}{20}$
$\frac{3}{4} = \frac{3\times5}{4\times5} = \frac{15}{20}$

Step2: Add the fractions

Now add the two fractions with the common denominator:
$\frac{6}{20} + \frac{15}{20} = \frac{6 + 15}{20} = \frac{21}{20}$

Answer:

$\frac{21}{20}$