Question

charles measures \\(\frac{2}{3}\\) of a yard of string for a friendship bracelet. he needs 6 pieces of string with that same length. drag a number into each box to complete and solve a multiplication equation that charles can use to find the total length of string that he needs. not all answer choices will be used. \\(\square \times \square = \square\\), or \\(\square\\). charles needs \\(\square\\) yards of string. answer choices: \\(\frac{1}{3}\\), \\(\frac{2}{3}\\), \\(\frac{8}{3}\\), \\(\frac{12}{3}\\), 1, 2, 4, 6

Explanation:

Step1: Identify the values

Each piece of string is $\frac{2}{3}$ yard, and there are 6 pieces. So the multiplication equation is $\frac{2}{3} \times 6$.

Step2: Multiply the fraction and the integer

To multiply $\frac{2}{3}$ by 6, we can write 6 as $\frac{6}{1}$. Then $\frac{2}{3} \times \frac{6}{1} = \frac{2\times6}{3\times1} = \frac{12}{3}$.

Step3: Simplify the fraction

$\frac{12}{3}$ simplifies to 4.

Answer:

The multiplication equation is $\boldsymbol{\frac{2}{3} \times 6 = \frac{12}{3}}$ or $\boldsymbol{4}$. Charles needs $\boldsymbol{4}$ yards of string.