What is 90+(30%× 90) ?

The solution to 90+(30%× 90) is 117

90+(30%× 90)

90 + (30% \times 90)

117

Solution steps

90 + (30% \cdot 90)

Follow the PEMDAS order of operations

Calculate within parentheses

(30% \cdot 90) : 27

30% \cdot 90

Multiply and divide (left to right)

Convert

30%

into a fraction:

\frac{30}{100}

30%

Rewrite

30%

\frac{30}{100}

= \frac{30}{100}

= \frac{30}{100} \cdot 90

Cancel

\frac{30}{100} : \frac{3}{10}

\frac{30}{100}

Factor the number:

30 = 10 \cdot 3

= \frac{10 \cdot 3}{100}

Factor the number:

100 = 10 \cdot 10

= \frac{10 \cdot 3}{10 \cdot 10}

Cancel the common factor:

10

= \frac{3}{10}

= \frac{3}{10} \cdot 90

\frac{3}{10} \cdot 90 = 27

\frac{3}{10} \cdot 90

Convert element to fraction:

90 = \frac{90}{1}

= \frac{3}{10} \cdot \frac{90}{1}

Apply the fraction rule:

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

= \frac{3 \cdot 90}{10 \cdot 1}

Cancel

\frac{3 \cdot 90}{10 \cdot 1} : 27

\frac{3 \cdot 90}{10 \cdot 1}

Multiply the numbers:

10 \cdot 1 = 10

= \frac{3 \cdot 90}{10}

Divide the numbers:

\frac{90}{10} = 9

= 3 \cdot 9

Multiply the numbers:

3 \cdot 9 = 27

= 27

= 27

= 27

= 90 + 27

Add and subtract (left to right)

90 + 27 : 117

90 + 27

90 + 27 = 117

= 117

= 117