Question

find \\(\frac{3}{4} + \frac{1}{10}\\).
first write the addition with a common denominator
then add.
\\(\frac{3}{4} + \frac{1}{10} = \frac{\square}{\square} + \frac{\square}{\square} = \frac{\square}{\square}\\)

Explanation:

Step1: Find least common denominator

The least common multiple of 4 and 10 is 20.

Step2: Rewrite fractions with LCD

$\frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20}$, $\frac{1}{10} = \frac{1 \times 2}{10 \times 2} = \frac{2}{20}$

Step3: Add the numerators

$\frac{15}{20} + \frac{2}{20} = \frac{15+2}{20} = \frac{17}{20}$

Answer:

$\frac{3}{4} + \frac{10}{1} = \frac{15}{20} + \frac{2}{20} = \frac{17}{20}$