Question

find each value. draw a tape diagram and show your work. write your answer as a whole number when possible.

1. $\frac{3}{8}$ of 40 is ______.
2. $\frac{5}{6}$ of 20 is ______.

Explanation:

Problem 3:

Step1: Understand the problem

To find $\frac{3}{8}$ of 40, we use the formula for finding a fraction of a number, which is multiplying the fraction by the number. So the expression is $\frac{3}{8} \times 40$.

Step2: Simplify the multiplication

First, we can simplify 40 and 8. 40 divided by 8 is 5. So we have $3 \times 5$.

Step3: Calculate the result

$3 \times 5 = 15$.

Step1: Understand the problem

To find $\frac{5}{6}$ of 20, we use the formula for finding a fraction of a number, which is multiplying the fraction by the number. So the expression is $\frac{5}{6} \times 20$.

Step2: Simplify the multiplication

$\frac{5}{6} \times 20 = \frac{5 \times 20}{6} = \frac{100}{6}$.

Step3: Simplify the fraction

We can simplify $\frac{100}{6}$ by dividing numerator and denominator by 2, getting $\frac{50}{3}$. As a mixed number, that is $16\frac{2}{3}$.

Answer:

15

Problem 4: