Question

problem solving

1. kiona fills a measuring cup with \\(\frac{3}{4}\\) cup of juice 3 times to make punch. write and solve a multiplication equation with a whole number and a fraction to show the total amount of juice kiona uses.

1. each lap around a track is \\(\frac{3}{10}\\) kilometer. eliot walked around the track 4 times. how far did eliot walk?

1. a chef serves \\(\frac{5}{6}\\) of a pan of lasagna. each piece is \\(\frac{1}{6}\\) of the pan. how many pieces did the chef serve? solve by writing \\(\frac{5}{6}\\) as multiple of \\(\frac{1}{6}\\).

Explanation:

Problem 8

Step1: Define the multiplication equation

The amount per fill is $\frac{3}{4}$ cup, and it's done 3 times. So the equation is $3\times\frac{3}{4}$.

Step2: Solve the multiplication

To multiply a whole number by a fraction, we multiply the whole number with the numerator: $3\times\frac{3}{4}=\frac{3\times3}{4}=\frac{9}{4}$. Convert to mixed number: $\frac{9}{4} = 2\frac{1}{4}$.

Step1: Define the multiplication equation

Each lap is $\frac{3}{10}$ km, and there are 4 laps. So the equation is $4\times\frac{3}{10}$.

Step2: Solve the multiplication

Multiply the whole number with the numerator: $4\times\frac{3}{10}=\frac{4\times3}{10}=\frac{12}{10}$. Simplify: $\frac{12}{10}=\frac{6}{5}=1\frac{1}{5}$.

Step1: Express $\frac{5}{6}$ as a multiple of $\frac{1}{6}$

We know that $\frac{5}{6}=5\times\frac{1}{6}$.

Step2: Determine the number of pieces

Since each piece is $\frac{1}{6}$ of the pan, the number of pieces is the number of times $\frac{1}{6}$ fits into $\frac{5}{6}$, which is 5.

Answer:

The equation is $3\times\frac{3}{4}$, and the total juice is $2\frac{1}{4}$ cups.

Problem 9