Convert to Improper Fractions: question_prompt: What is the result of -3(1)/(2) divided by 1(1)/(4)? Change to Multiplication: Convert mixed numbers to improper fractions. -3(1)/(2) becomes -7/2 and 1(1)/(4) becomes 5/4. Multiply Numerators and Denominators: Change the division to multiplication by flipping the second fraction (reciprocal of 5/4 is 4/5). So, -7/2 ÷ 5/4 becomes -7/2 * 4/5. Simplify Fraction: Multiply the numerators and then the denominators. -7 * 4 = -28 and 2 * 5 = 10. So, -7/2 * 4/5 = -28/10. Simplify the fraction -28/10 by dividing both numerator and denominator by the greatest common divisor, which is 2. -28/10 becomes -14/5.

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

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Math Problems

Grade 7

Multiply and divide integers

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

Convert to Improper Fractions: question_prompt: What is the result of $-3\frac{1}{2}$ divided by $1\frac{1}{4}$ ?
Change to Multiplication: Convert mixed numbers to improper fractions. $-3\left(\frac{1}{2}\right)$ becomes $-\frac{7}{2}$ and $1\left(\frac{1}{4}\right)$ becomes $\frac{5}{4}$ .
Multiply Numerators and Denominators: Change the division to multiplication by flipping the second fraction (reciprocal of $\frac{5}{4}$ is $\frac{4}{5}$ ). So, $-\frac{7}{2} \div \frac{5}{4}$ becomes $-\frac{7}{2} \times \frac{4}{5}$ .
Simplify Fraction: Multiply the numerators and then the denominators. $-7 \times 4 = -28$ and $2 \times 5 = 10$ . So, $\frac{-7}{2} \times \frac{4}{5} = \frac{-28}{10}$ .
Simplify Fraction: Multiply the numerators and then the denominators. $-7 \times 4 = -28$ and $2 \times 5 = 10$ . So, $\frac{-7}{2} \times \frac{4}{5} = \frac{-28}{10}$ . Simplify the fraction $\frac{-28}{10}$ by dividing both numerator and denominator by the greatest common divisor, which is $2$ . $\frac{-28}{10}$ becomes $\frac{-14}{5}$ .