Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

(-2)/(3)÷2(1)/(4)=

$\frac{-2}{3} \div 2 \frac{1}{4}=$

View step-by-step help

View step-by-step help

Multiply and divide integers

Full solution

Q.

\frac{-2}{3} \div 2 \frac{1}{4}=

Identify and Convert: Identify the operation and convert mixed number to improper fraction. $\newline$ $2\frac{1}{4} = \frac{8}{4} + \frac{1}{4} = \frac{9}{4}$
Set up Division: Set up the division as multiplication by the reciprocal of $\frac{9}{4}$ . $\newline$ $\frac{-2}{3} \div 2\frac{1}{4} = \frac{-2}{3} \times \frac{4}{9}$
Multiply Numerators and Denominators: Multiply the numerators and the denominators. $\newline$ $(-2) \times 4 = -8$ and $3 \times 9 = 27$ $\newline$ So, $\frac{-2}{3} \times \frac{4}{9} = \frac{-8}{27}$
Simplify Fraction: Simplify the fraction if possible. $\newline$ $-8$ and $27$ don't have common factors, so the fraction is already in simplest form.

More problems from Multiply and divide integers

Question

Write an expression to represent:

7

minus the product of

3

x

Posted 3 months ago

Question

Write an expression to represent:

9

minus the quotient of

2

x

Posted 3 months ago

Question

Write an expression to represent:

\newline

2

times the sum of

5

x

Posted 3 months ago

Question

\newline

\frac{2}{7} \div \frac{8}{3}=

Posted 3 months ago

Question

\newline

\frac{2}{5} \div \frac{8}{5}=

Posted 3 months ago

Question

\newline

\frac{8}{5} \div \frac{7}{8}=

Posted 3 months ago

Question

\newline

\frac{1}{4} \div \frac{8}{3}=

Posted 3 months ago

Question

\newline

\frac{2}{7} \div \frac{4}{9}=

Posted 3 months ago

Question

\newline

\frac{2}{5} \div \frac{1}{7}=

Posted 3 months ago

Question

\newline

\frac{4}{7} \div \frac{7}{2}=

Posted 3 months ago