Math  /  Numbers & Operations

Question8÷32=8 \div \frac{3}{2}=

Studdy Solution

STEP 1

1. The problem involves basic arithmetic division.
2. The expression 8÷328 \div \frac{3}{2} can be simplified by converting the division into multiplication by the reciprocal.
3. The solution should be a real number.

STEP 2

1. Convert the division problem into a multiplication problem by finding the reciprocal of 32\frac{3}{2}.
2. Multiply 88 by the reciprocal of 32\frac{3}{2}.
3. Simplify the resulting expression to find the final answer.

STEP 3

Convert the division of 88 by 32\frac{3}{2} into multiplication by the reciprocal of 32\frac{3}{2}.
8÷32=8×23 8 \div \frac{3}{2} = 8 \times \frac{2}{3}

STEP 4

Multiply 88 by 23\frac{2}{3}.
8×23=8×23 8 \times \frac{2}{3} = \frac{8 \times 2}{3}

STEP 5

Simplify the expression 8×23\frac{8 \times 2}{3}.
163 \frac{16}{3}
The solution to the problem 8÷328 \div \frac{3}{2} is 163\frac{16}{3}.

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