What is 7/10\times 5/8\times 96 ?

The solution to 7/10\times 5/8\times 96 is 42

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7/10\times 5/8\times 96

7/10 \times 5/8 \times 96

42

Solution steps

7/10 \times 5/8 \times 96

Follow the PEMDAS order of operations

Multiply and divide (left to right)

7/10 = \frac{7}{10}

= \frac{7}{10} \times 5/8 \times 96

\frac{7}{10} \times 5 = \frac{7}{2}

\frac{7}{10} \cdot 5

Convert element to fraction:

5 = \frac{5}{1}

= \frac{7}{10} \cdot \frac{5}{1}

Apply the fraction rule:

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

= \frac{7 \cdot 5}{10 \cdot 1}

\frac{7 \cdot 5}{10 \cdot 1} = \frac{7}{2}

\frac{7 \cdot 5}{10 \cdot 1}

Multiply the numbers:

10 \cdot 1 = 10

= \frac{7 \cdot 5}{10}

Factor the number:

10 = 5 \cdot 2

= \frac{7 \cdot 5}{5 \cdot 2}

Cancel the common factor:

5

= \frac{7}{2}

= \frac{7}{2}

= \frac{7}{2} /8 \times 96

\frac{7}{2} /8 = \frac{7}{16}

\frac{7}{2} /8

Convert element to fraction:

8 = \frac{8}{1}

= \frac{7}{2} \div \frac{8}{1}

Apply the fraction rule:

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

= \frac{7}{2} \cdot \frac{1}{8}

Multiply fractions:

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

= \frac{7 \cdot 1}{2 \cdot 8}

Multiply the numbers:

7 \cdot 1 = 7

= \frac{7}{2 \cdot 8}

Multiply the numbers:

2 \cdot 8 = 16

= \frac{7}{16}

= \frac{7}{16} \times 96

\frac{7}{16} \times 96 = 42

\frac{7}{16} \cdot 96

Convert element to fraction:

96 = \frac{96}{1}

= \frac{7}{16} \cdot \frac{96}{1}

Apply the fraction rule:

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

= \frac{7 \cdot 96}{16 \cdot 1}

Cancel

\frac{7 \cdot 96}{16 \cdot 1} : 42

\frac{7 \cdot 96}{16 \cdot 1}

Multiply the numbers:

16 \cdot 1 = 16

= \frac{7 \cdot 96}{16}

Divide the numbers:

\frac{96}{16} = 6

= 7 \cdot 6

Multiply the numbers:

7 \cdot 6 = 42

= 42

= 42

= 42

(- 3)^{2} - (- 3) - 12

\frac{3}{4} (2) + 2

3^{1} - 2^{2} + 1^{3}

16 - 10 \div 5 + 13

- 3 - 4 \times 7