What is 90\div 100× 9500 ?

The solution to 90\div 100× 9500 is 8550

90\div 100× 9500

90 \div 100 \times 9500

8550

Solution steps

90 \div 100 \times 9500

Follow the PEMDAS order of operations

Multiply and divide (left to right)

90 \div 100 = \frac{90}{100}

= \frac{90}{100} \times 9500

\frac{90}{100} \times 9500 = 8550

\frac{90}{100} \cdot 9500

Cancel

\frac{90}{100} : \frac{9}{10}

\frac{90}{100}

Factor the number:

90 = 10 \cdot 9

= \frac{10 \cdot 9}{100}

Factor the number:

100 = 10 \cdot 10

= \frac{10 \cdot 9}{10 \cdot 10}

Cancel the common factor:

10

= \frac{9}{10}

= \frac{9}{10} \cdot 9500

\frac{9}{10} \cdot 9500 = 8550

\frac{9}{10} \cdot 9500

Convert element to fraction:

9500 = \frac{9500}{1}

= \frac{9}{10} \cdot \frac{9500}{1}

Apply the fraction rule:

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

= \frac{9 \cdot 9500}{10 \cdot 1}

Cancel

\frac{9 \cdot 9500}{10 \cdot 1} : 8550

\frac{9 \cdot 9500}{10 \cdot 1}

Multiply the numbers:

10 \cdot 1 = 10

= \frac{9 \cdot 9500}{10}

Divide the numbers:

\frac{9500}{10} = 950

= 9 \cdot 950

Multiply the numbers:

9 \cdot 950 = 8550

= 8550

= 8550

= 8550

= 8550