What is +30(8)-11/2 (16) ?

The solution to +30(8)-11/2 (16) is 152

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+30(8)-11/2 (16)

+ 30 (8) - \frac{11}{2} (16)

152

Solution steps

30 (8) - \frac{11}{2} (16)

Follow the PEMDAS order of operations

Multiply and divide (left to right)

30 (8) : 240

30 (8)

Apply rule:

(a) = a

(8) = 8

= 30 \cdot 8

Multiply the numbers:

30 \cdot 8 = 240

= 240

= 240 - \frac{11}{2} (16)

Multiply and divide (left to right)

\frac{11}{2} (16) : 88

\frac{11}{2} (16)

Apply rule:

(a) = a

(16) = 16

= \frac{11}{2} \cdot 16

\frac{11}{2} \cdot 16 = 88

\frac{11}{2} \cdot 16

Convert element to fraction:

16 = \frac{16}{1}

= \frac{11}{2} \cdot \frac{16}{1}

Apply the fraction rule:

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

= \frac{11 \cdot 16}{2 \cdot 1}

Cancel

\frac{11 \cdot 16}{2 \cdot 1} : 88

\frac{11 \cdot 16}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{11 \cdot 16}{2}

Divide the numbers:

\frac{16}{2} = 8

= 11 \cdot 8

Multiply the numbers:

11 \cdot 8 = 88

= 88

= 88

= 88

= 240 - 88

Add and subtract (left to right)

240 - 88 : 152

240 - 88

240 - 88 = 152

= 152

= 152

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