Question

guided practice
do you understand?

1. draw a picture to explain how to find ( 3\times\frac{2}{5} ).

do you know how?
for 2-3, write and solve a multiplication equation.

1. image of two circles with shaded parts
2. image of a number line with arrows

independent practice
for 4-7, write and solve a multiplication equation. use drawings or number lines as needed.

1. image of five blue rectangles labeled ( \frac{1}{8} ) mi
2. image of three plates with pie slices, each labeled ( \frac{2}{10} )
3. calculate the distance margo rides her bike if she rides ( \frac{7}{8} ) mile each day for 4 days.
4. calculate the distance tom rides his bike if he rides ( \frac{5}{6} ) mile each day for 5 days.

Explanation:

Let's solve problem 4 first (you can choose other problems too, here we take problem 4 as an example):

Step1: Identify the multiplication equation

We have 5 segments each of length $\frac{1}{8}$ mi. So the multiplication equation is $5\times\frac{1}{8}$.

Step2: Solve the multiplication equation

To multiply an integer by a fraction, we multiply the integer with the numerator of the fraction and keep the denominator the same. So $5\times\frac{1}{8}=\frac{5\times1}{8}=\frac{5}{8}$.

Step1: Identify the multiplication equation

We have 3 plates each with a fraction of $\frac{2}{10}$. So the multiplication equation is $3\times\frac{2}{10}$.

Step2: Solve the multiplication equation

Multiply the integer 3 with the numerator 2: $3\times\frac{2}{10}=\frac{3\times2}{10}=\frac{6}{10}$, which can be simplified to $\frac{3}{5}$.

Step1: Identify the multiplication equation

Margo rides $\frac{7}{8}$ mile each day for 4 days. So the equation is $4\times\frac{7}{8}$.

Step2: Solve the multiplication equation

Multiply 4 and 7 in the numerator: $4\times\frac{7}{8}=\frac{4\times7}{8}=\frac{28}{8}$, which simplifies to $\frac{7}{2}=3\frac{1}{2}$.

Answer:

The multiplication equation is $5\times\frac{1}{8}$ and the solution is $\frac{5}{8}$ mi.

If we solve problem 5: