What is (9/5 \times 40/1)+32 ?

The solution to (9/5 \times 40/1)+32 is 104

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(9/5 \times 40/1)+32

(\frac{9}{5} \cdot \frac{40}{1}) + 32

104

Solution steps

(\frac{9}{5} \cdot \frac{40}{1}) + 32

\frac{40}{1} = 40

Apply rule

\frac{a}{1} = a

40

= \frac{9}{5} \cdot 40 + 32

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{9}{5} \cdot 40 : 72

\frac{9}{5} \cdot 40

Convert element to fraction:

40 = \frac{40}{1}

= \frac{9}{5} \cdot \frac{40}{1}

Apply the fraction rule:

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

= \frac{9 \cdot 40}{5 \cdot 1}

Cancel

\frac{9 \cdot 40}{5 \cdot 1} : 72

\frac{9 \cdot 40}{5 \cdot 1}

Multiply the numbers:

5 \cdot 1 = 5

= \frac{9 \cdot 40}{5}

Divide the numbers:

\frac{40}{5} = 8

= 9 \cdot 8

Multiply the numbers:

9 \cdot 8 = 72

= 72

= 72

= 72 + 32

Add and subtract (left to right)

72 + 32 : 104

72 + 32

72 + 32 = 104

= 104

= 104

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