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QuestionDivide the fractions: 19÷13\frac{1}{9} \div \frac{1}{3}. Is it a number or undefined? A. □\square B. undefined.

Studdy Solution

STEP 1

Assumptions1. We are asked to divide 19\frac{1}{9} by 13\frac{1}{3}. . Division by zero is undefined, but here we are not dividing by zero.

STEP 2

When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction.
ab÷cd=ab×dc\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

STEP 3

Apply the rule to our problem.
19÷13=19×31\frac{1}{9} \div \frac{1}{3} = \frac{1}{9} \times \frac{3}{1}

STEP 4

Multiply the numerators together to get the numerator of the answer, and multiply the denominators together to get the denominator of the answer.
19×31=1×39×1\frac{1}{9} \times \frac{3}{1} = \frac{1 \times3}{9 \times1}

STEP 5

Perform the multiplication.
1×39×1=39\frac{1 \times3}{9 \times1} = \frac{3}{9}

STEP 6

implify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is3.
39=3÷39÷3\frac{3}{9} = \frac{3 \div3}{9 \div3}

STEP 7

Perform the division.
3÷39÷3=13\frac{3 \div3}{9 \div3} = \frac{1}{3}So, 19÷13=13\frac{1}{9} \div \frac{1}{3} = \frac{1}{3}.

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