Find the value of the expression 5 1/2 ÷ k for k&nbsp=&nbsp2 4/9. Write your answer as a fraction or as a whole or mixed number. _____

Convert to Improper Fraction: Convert mixed number 5 1/2 to an improper fraction. 5 1/2 = (5 × 2 + 1)/2 = 11/2. Convert Mixed Number: Convert mixed number 2 4/9 to an improper fraction. 2 4/9 = (2 × 9 + 4)/9 = 22/9. Perform Division: Perform the division of the two fractions, 11/2 ÷ 22/9. To divide fractions, multiply the first fraction by the reciprocal of the second. 11/2 × 9/22. Simplify Multiplication: Simplify the multiplication. (11 × 9)/(2 × 22) = 99/44. Simplify Fraction: Simplify the fraction 99/44. Both numerator and denominator can be divided by 11. 99 ÷ 11 = 9, 44 ÷ 11 = 4. So, 99/44 = 9/4. Convert to Mixed Number: Convert 9/4 to a mixed number. 9 ÷ 4 = 2 remainder 1. So, 9/4 = 2 1/4.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the value of the expression $\newline$ $5\frac{1}{2} \div k$ $\newline$ for $k = 2\frac{4}{9}$ . $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____

View step-by-step help

Home

Math Problems

Grade 6

Evaluate variable expressions with decimals, fractions, and mixed numbers

Full solution

Q. Find the value of the expression

\newline

5\frac{1}{2} \div k

\newline

for

k = 2\frac{4}{9}

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

_____

Convert to Improper Fraction: Convert mixed number $5 \frac{1}{2}$ to an improper fraction. $5 \frac{1}{2} = (5 \times 2 + 1)/2 = \frac{11}{2}$ .
Convert Mixed Number: Convert mixed number $2 \frac{4}{9}$ to an improper fraction. $2 \frac{4}{9} = (2 \times 9 + 4)/9 = \frac{22}{9}.$
Perform Division: Perform the division of the two fractions, $\frac{11}{2} \div \frac{22}{9}$ . To divide fractions, multiply the first fraction by the reciprocal of the second. $\frac{11}{2} \times \frac{9}{22}$ .
Simplify Multiplication: Simplify the multiplication. $(11 \times 9)/(2 \times 22) = 99/44$ .
Simplify Fraction: Simplify the fraction $\frac{99}{44}$ . Both numerator and denominator can be divided by $11$ . $99 \div 11 = 9$ , $44 \div 11 = 4$ . So, $\frac{99}{44} = \frac{9}{4}$ .
Convert to Mixed Number: Convert $\frac{9}{4}$ to a mixed number. $9 \div 4 = 2$ remainder $1$ . So, $\frac{9}{4} = 2 \frac{1}{4}.$