Question

10 math journal write a division expression with fractions that results in $-\frac{3}{8}$. explain your thinking. end of lesson checklist interactive glossary find the entry for rational number. add two important things you learned about rational numbers in this lesson. self check go back to the unit 3 opener and see what you can check off. 252 lesson 12 multiply and divide with negative numbers

Explanation:

Step1: Recall division rule for fractions

The rule for dividing fractions is \(a\div b=a\times\frac{1}{b}\) (\(b
eq0\)). Let's assume the dividend and divisor.

Step2: Construct the division expression

Let the dividend be \(-\frac{3}{4}\) and the divisor be \(2\). Then the division expression is \(-\frac{3}{4}\div2\). Using the division - of - fractions rule \(a\div b=a\times\frac{1}{b}\), we have \(-\frac{3}{4}\div2=-\frac{3}{4}\times\frac{1}{2}\).

Step3: Calculate the result

Multiply the numerators (\(-3\times1 = - 3\)) and the denominators (\(4\times2=8\)), so \(-\frac{3}{4}\times\frac{1}{2}=-\frac{3}{8}\).

Another example: Let the dividend be \(\frac{3}{8}\) and the divisor be \(-1\). Then \(\frac{3}{8}\div(-1)=\frac{3}{8}\times(-1)=-\frac{3}{8}\) (using \(a\div b=a\times\frac{1}{b}\), here \(b = - 1\) and \(\frac{1}{b}=-1\)).

Answer:

One possible division expression is \(-\frac{3}{4}\div2\) (or \(\frac{3}{8}\div(-1)\) etc.).