What is 7/3 \times 6\div 7/2 ?

The solution to 7/3 \times 6\div 7/2 is 4

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7/3 \times 6\div 7/2

\frac{7}{3} \times 6 \div \frac{7}{2}

4

Solution steps

\frac{7}{3} \times 6 \div \frac{7}{2}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{7}{3} \times 6 = 14

\frac{7}{3} \cdot 6

Convert element to fraction:

6 = \frac{6}{1}

= \frac{7}{3} \cdot \frac{6}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{7 \cdot 6}{3 \cdot 1}

Cancel

\frac{7 \cdot 6}{3 \cdot 1} : 14

\frac{7 \cdot 6}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{7 \cdot 6}{3}

Divide the numbers:

\frac{6}{3} = 2

= 7 \cdot 2

Multiply the numbers:

7 \cdot 2 = 14

= 14

= 14

= 14 \div \frac{7}{2}

14 \div \frac{7}{2} = 4

14 \div \frac{7}{2}

Convert element to fraction:

14 = \frac{14}{1}

= \frac{14}{1} \div \frac{7}{2}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{14}{1} \cdot \frac{2}{7}

Cross-cancel common factor:

7

= \frac{2}{1} \cdot \frac{2}{1}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{2 \cdot 2}{1 \cdot 1}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{4}{1 \cdot 1}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{4}{1}

Apply rule

\frac{a}{1} = a

= 4

= 4

- 60 - 5 (- 6)

2 \div 8 + 1 \div 4

7^{2} \cdot 2^{2}

3 \div 4 \div 8

2 (- 7) + 9 (3)