Solve the Fraction Addition: 3/4 + 2/20 Step-by-Step

Video Solution

Solution Steps

00:00 Solve

00:03 We want to get to the smallest common denominator

00:06 Therefore multiply by 5, to get the common denominator 20

00:09 Remember to multiply both numerator and denominator

00:16 Let's calculate the multiplications

00:22 Let's add under the common denominator

00:30 Let's calculate the numerator

00:34 And this is the solution to the question

Step-by-Step Solution

To solve $\frac{3}{4} + \frac{2}{20}$ , let's follow these steps:

Step 1: Convert $\frac{3}{4}$ to a fraction with the denominator $20$ .
Multiply both the numerator and denominator of $\frac{3}{4}$ by $5$ , as $20 \div 4 = 5$ :
We have: $\frac{3 \times 5}{4 \times 5} = \frac{15}{20}$
Step 2: The fraction $\frac{2}{20}$ is already in the correct form with a denominator of $20$ .
Step 3: Add the fractions $\frac{15}{20}$ and $\frac{2}{20}$ :
Since they have the same denominator, we combine the numerators directly: $\frac{15}{20} + \frac{2}{20} = \frac{15 + 2}{20} = \frac{17}{20}$

Therefore, the sum of the fractions is $\frac{17}{20}$ .