Evaluate the expression. 3/5 + 1/5 * 1/2 Write your answer as a fraction or as a whole or mixed number. ______

Calculate Half of 1/5: First, we need to calculate half of 1/5. To find half of a fraction, we multiply the fraction by 1/2. So, we calculate 1/5 * 1/2. 1/5 * 1/2 = (1 * 1) / (5 * 2) = 1/10Add Fractions with Common Denominator: Now, we have the two quantities we need to add: 3/5 and 1/10. To add fractions, they must have a common denominator. The common denominator for 5 and 10 is 10. We need to convert 3/5 to a fraction with a denominator of 10. 3/5 = (3 * 2) / (5 * 2) = 6/10Combine Fractions: Now we can add the two fractions since they have the same denominator. 6/10 + 1/10 = (6 + 1) / 10 = 7/10

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Evaluate the expression. $\newline$ $\frac{3}{5} + \frac{1}{5} \times \frac{1}{2}$ $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ ______

View step-by-step help

Home

Math Problems

Grade 7

Evaluate numerical expressions involving fractions

Full solution

Q. Evaluate the expression.

\newline

\frac{3}{5} + \frac{1}{5} \times \frac{1}{2}

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

______

Calculate Half of $\frac{1}{5}$ : First, we need to calculate half of $\frac{1}{5}$ . To find half of a fraction, we multiply the fraction by $\frac{1}{2}$ . So, we calculate $\frac{1}{5} \times \frac{1}{2}$ . $\frac{1}{5} \times \frac{1}{2} = \frac{1 \times 1}{5 \times 2} = \frac{1}{10}$
Add Fractions with Common Denominator: Now, we have the two quantities we need to add: $\frac{3}{5}$ and $\frac{1}{10}$ . To add fractions, they must have a common denominator. The common denominator for $5$ and $10$ is $10$ . We need to convert $\frac{3}{5}$ to a fraction with a denominator of $10$ . $\frac{3}{5} = \left(\frac{3 \times 2}{5 \times 2}\right) = \frac{6}{10}$
Combine Fractions: Now we can add the two fractions since they have the same denominator. $\newline$ $\frac{6}{10} + \frac{1}{10} = \frac{(6 + 1)}{10} = \frac{7}{10}$