QuestionDivide: $\frac{2}{5} \div \frac{3}{7} =$

Studdy Solution

STEP 1

Assumptions1. We are dividing two fractions $\frac{}{5}$ and $\frac{3}{7}$

STEP 2

Remember that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is obtained by swapping the numerator and the denominator.
$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$

STEP 3

Apply this rule to our problem. The reciprocal of $\frac{3}{7}$ is $\frac{7}{3}$ .
$\frac{2}{5} \div \frac{3}{7} = \frac{2}{5} \times \frac{7}{3}$

STEP 4

Now, multiply the fractions. To multiply fractions, multiply the numerators together and the denominators together.
$\frac{2}{} \times \frac{7}{3} = \frac{2 \times7}{ \times3}$

STEP 5

Perform the multiplication.
$\frac{2 \times7}{5 \times3} = \frac{14}{15}$ So, $\frac{2}{5} \div \frac{3}{7} = \frac{14}{15}$ .

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QuestionDivide: $\frac{2}{5} \div \frac{3}{7} =$

Studdy Solution

STEP 1

Assumptions1. We are dividing two fractions $\frac{}{5}$ and $\frac{3}{7}$

STEP 2

Remember that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is obtained by swapping the numerator and the denominator.
$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$

STEP 3

Apply this rule to our problem. The reciprocal of $\frac{3}{7}$ is $\frac{7}{3}$ .
$\frac{2}{5} \div \frac{3}{7} = \frac{2}{5} \times \frac{7}{3}$

STEP 4

Now, multiply the fractions. To multiply fractions, multiply the numerators together and the denominators together.
$\frac{2}{} \times \frac{7}{3} = \frac{2 \times7}{ \times3}$

STEP 5

Perform the multiplication.
$\frac{2 \times7}{5 \times3} = \frac{14}{15}$ So, $\frac{2}{5} \div \frac{3}{7} = \frac{14}{15}$ .

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QuestionDivide: 25÷37=\frac{2}{5} \div \frac{3}{7} = 52​÷73​=

Studdy Solution

STEP 1

Assumptions1. We are dividing two fractions 5\frac{}{5}5​ and 37\frac{3}{7}73​

STEP 2

Remember that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is obtained by swapping the numerator and the denominator.ab÷cd=ab×dc\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}ba​÷dc​=ba​×cd​

STEP 3

Apply this rule to our problem. The reciprocal of 37\frac{3}{7}73​ is 73\frac{7}{3}37​.25÷37=25×73\frac{2}{5} \div \frac{3}{7} = \frac{2}{5} \times \frac{7}{3}52​÷73​=52​×37​

STEP 4

Now, multiply the fractions. To multiply fractions, multiply the numerators together and the denominators together.2×73=2×7×3\frac{2}{} \times \frac{7}{3} = \frac{2 \times7}{ \times3}2​×37​=×32×7​

STEP 5

Perform the multiplication.2×75×3=1415\frac{2 \times7}{5 \times3} = \frac{14}{15}5×32×7​=1514​So, 25÷37=1415\frac{2}{5} \div \frac{3}{7} = \frac{14}{15}52​÷73​=1514​.

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QuestionDivide: $\frac{2}{5} \div \frac{3}{7} =$

Assumptions1. We are dividing two fractions $\frac{}{5}$ and $\frac{3}{7}$

Remember that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is obtained by swapping the numerator and the denominator.
$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$

Apply this rule to our problem. The reciprocal of $\frac{3}{7}$ is $\frac{7}{3}$ .
$\frac{2}{5} \div \frac{3}{7} = \frac{2}{5} \times \frac{7}{3}$

Now, multiply the fractions. To multiply fractions, multiply the numerators together and the denominators together.
$\frac{2}{} \times \frac{7}{3} = \frac{2 \times7}{ \times3}$

Perform the multiplication.
$\frac{2 \times7}{5 \times3} = \frac{14}{15}$ So, $\frac{2}{5} \div \frac{3}{7} = \frac{14}{15}$ .