Name ARE wined to use a calculator on this assessment. $\newline$ $4$ . C ris is using string for a project. His tyo remaining pieces of string measure $1 \frac{7}{12}$ feet and $2 \frac{1}{3}$ feet in width. What is the difference between the two widths? $\newline$ A. $\frac{2}{3}$ feet $\newline$ B. $\frac{3}{4}$ feet $\newline$ $3-3$ $\newline$ C. $1 \frac{2}{3}$ feet $\newline$ D. $3 \frac{11}{12}$ feet

Full solution

Q. Name ARE wined to use a calculator on this assessment.

\newline

4

. C ris is using string for a project. His tyo remaining pieces of string measure

1 \frac{7}{12}

feet and

2 \frac{1}{3}

feet in width. What is the difference between the two widths?

\newline

\frac{2}{3}

feet

\newline

\frac{3}{4}

feet

\newline

3-3

\newline

1 \frac{2}{3}

feet

\newline

3 \frac{11}{12}

feet

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier calculation. $\newline$ $1\left(\frac{7}{12}\right) = \left(\frac{12}{12} + \frac{7}{12}\right) = \frac{19}{12}$ feet $\newline$ $2\left(\frac{1}{3}\right) = \left(\frac{6}{3} + \frac{1}{3}\right) = \frac{7}{3}$ feet
Find Common Denominator: Find a common denominator to subtract the fractions. $\newline$ Common denominator for $12$ and $3$ is $12$ . $\newline$ Convert $\frac{7}{3}$ to a fraction with a denominator of $12$ . $\newline$ $\frac{7}{3} = \left(\frac{7 \times 4}{3 \times 4}\right) = \frac{28}{12}$ feet
Subtract Fractions: Subtract the two widths. $\text{Difference} = \frac{28}{12} \text{ feet} - \frac{19}{12} \text{ feet} = \frac{9}{12} \text{ feet}$
Simplify Fraction: Simplify the fraction. $\frac{9}{12}$ feet can be simplified to $\frac{3}{4}$ feet by dividing both numerator and denominator by $3$ .