What is 110+(70%\times 110) ?

The solution to 110+(70%\times 110) is 187

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110+(70%\times 110)

110 + (70% \cdot 110)

187

Solution steps

110 + (70% \cdot 110)

Follow the PEMDAS order of operations

Calculate within parentheses

(70% \cdot 110) : 77

70% \cdot 110

Multiply and divide (left to right)

Convert

70%

into a fraction:

\frac{70}{100}

70%

Rewrite

70%

\frac{70}{100}

= \frac{70}{100}

= \frac{70}{100} \cdot 110

Cancel

\frac{70}{100} : \frac{7}{10}

\frac{70}{100}

Factor the number:

70 = 10 \cdot 7

= \frac{10 \cdot 7}{100}

Factor the number:

100 = 10 \cdot 10

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

Cancel the common factor:

10

= \frac{7}{10}

= \frac{7}{10} \cdot 110

\frac{7}{10} \cdot 110 = 77

\frac{7}{10} \cdot 110

Convert element to fraction:

110 = \frac{110}{1}

= \frac{7}{10} \cdot \frac{110}{1}

Apply the fraction rule:

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

= \frac{7 \cdot 110}{10 \cdot 1}

Cancel

\frac{7 \cdot 110}{10 \cdot 1} : 77

\frac{7 \cdot 110}{10 \cdot 1}

Multiply the numbers:

10 \cdot 1 = 10

= \frac{7 \cdot 110}{10}

Divide the numbers:

\frac{110}{10} = 11

= 7 \cdot 11

Multiply the numbers:

7 \cdot 11 = 77

= 77

= 77

= 77

= 110 + 77

Add and subtract (left to right)

110 + 77 : 187

110 + 77

110 + 77 = 187

= 187

= 187

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