Solve: Adding 3/5 and 6/10 - Fraction Addition Practice

Question

35+610= \frac{3}{5}+\frac{6}{10}=

Video Solution

Solution Steps

00:00 Solve
00:03 We want to get to the smallest common denominator
00:06 So we'll multiply by 2 to get the common denominator 10
00:09 Remember to multiply both numerator and denominator
00:18 Let's calculate the multiplications
00:26 Let's add under the common denominator
00:31 Let's calculate the numerator
00:34 Let's reduce the fraction as much as possible
00:37 Remember to divide both numerator and denominator
00:46 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we need to add the fractions 35\frac{3}{5} and 610\frac{6}{10}. Since 610\frac{6}{10} is already expressed with the denominator of 10, we will convert 35\frac{3}{5} to have the same denominator.

Step 1: Convert 35\frac{3}{5} into a fraction with a denominator of 10. To do this, multiply both the numerator and the denominator by 2:

35=3×25×2=610\frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10}

Step 2: Add the fractions 610\frac{6}{10} and 610\frac{6}{10}:

610+610=6+610=1210\frac{6}{10} + \frac{6}{10} = \frac{6 + 6}{10} = \frac{12}{10}

Step 3: Simplify 1210\frac{12}{10}. Both numerator and denominator can be divided by 2:

1210=12÷210÷2=65\frac{12}{10} = \frac{12 \div 2}{10 \div 2} = \frac{6}{5}

Thus, the sum 35+610\frac{3}{5} + \frac{6}{10} simplifies to 65\frac{6}{5}.

Therefore, the correct answer is 65\frac{6}{5} which corresponds to choice 3.

Answer

65 \frac{6}{5}