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Math  /  Numbers & Operations

Question2÷323=2 \div 3 \frac{2}{3}=
Sulmity

Studdy Solution

STEP 1

1. The problem involves dividing a whole number by a mixed number.
2. The mixed number 3233 \frac{2}{3} can be converted into an improper fraction.
3. Division of fractions involves multiplying by the reciprocal.

STEP 2

1. Convert the mixed number to an improper fraction.
2. Change the division problem into a multiplication problem using the reciprocal.
3. Perform the multiplication.
4. Simplify the result if necessary.

STEP 3

Convert the mixed number 3233 \frac{2}{3} into an improper fraction.
323=3×3+23=9+23=1133 \frac{2}{3} = \frac{3 \times 3 + 2}{3} = \frac{9 + 2}{3} = \frac{11}{3}

STEP 4

Rewrite the division problem 2÷3232 \div 3 \frac{2}{3} as a multiplication problem by using the reciprocal of 113\frac{11}{3}.
2÷113=2×3112 \div \frac{11}{3} = 2 \times \frac{3}{11}

STEP 5

Perform the multiplication.
2×311=2×311=6112 \times \frac{3}{11} = \frac{2 \times 3}{11} = \frac{6}{11}

STEP 6

Check if the fraction 611\frac{6}{11} can be simplified. Since 6 and 11 have no common factors other than 1, the fraction is already in its simplest form.
The solution to the problem is:
611\boxed{\frac{6}{11}}

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