What is 170\div 370× 100 ?

The solution to 170\div 370× 100 is 45 35/37

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Popular Pre Algebra >

170\div 370× 100

Solution

170 \div 370 \times 100

Solution

45 \frac{35}{37}

Decimal

45.94594 \dots

Solution steps

170 \div 370 \times 100

Follow the PEMDAS order of operations

Multiply and divide (left to right)

170 \div 370 = \frac{170}{370}

= \frac{170}{370} \times 100

\frac{170}{370} \times 100 = \frac{1700}{37}

\frac{170}{370} \cdot 100

Cancel

\frac{170}{370} : \frac{17}{37}

\frac{170}{370}

Factor the number:

170 = 10 \cdot 17

= \frac{10 \cdot 17}{370}

Factor the number:

370 = 10 \cdot 37

= \frac{10 \cdot 17}{10 \cdot 37}

Cancel the common factor:

10

= \frac{17}{37}

= \frac{17}{37} \cdot 100

\frac{17}{37} \cdot 100 = \frac{1700}{37}

\frac{17}{37} \cdot 100

Convert element to fraction:

100 = \frac{100}{1}

= \frac{17}{37} \cdot \frac{100}{1}

Apply the fraction rule:

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

= \frac{17 \cdot 100}{37 \cdot 1}

Multiply the numbers:

17 \cdot 100 = 1700

= \frac{1700}{37 \cdot 1}

Multiply the numbers:

37 \cdot 1 = 37

= \frac{1700}{37}

= \frac{1700}{37}

= \frac{1700}{37}

Convert improper fractions to mixed numbers:

\frac{1700}{37} = 45 \frac{35}{37}

\frac{1700}{37} = 45

Remainder

35

\frac{1700}{37}

Write the problem in long division format

37 \overline{∣ 1700}

Divide

170

37

to get

4

Divide

170

37

to get

4

4 37 \overline{∣ 1700}

Multiply the quotient digit

(4)

by the divisor

37

4 37 \overline{∣ 1700} \underline{148}

Subtract

148

from

170

4 37 \overline{∣ 1700} \underline{148} 22

Bring down the next number of the dividend

4 37 \overline{∣ 1700} \underline{148} 220

4 37 \overline{∣ 1700} \underline{148} 220

Divide

220

37

to get

5

Divide

220

37

to get

5

45 37 \overline{∣ 1700} \underline{148} 220

Multiply the quotient digit

(5)

by the divisor

37

45 37 \overline{∣ 1700} \underline{148} 220 \underline{185}

Subtract

185

from

220

45 37 \overline{∣ 1700} \underline{148} 220 \underline{185} 35

45 37 \overline{∣ 1700} \underline{148} 220 \underline{185} 35

The solution for Long Division of

\frac{1700}{37}

45

with remainder of

35

45 Remainder 35

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{1700}{37} = 45 \frac{35}{37}

= 45 \frac{35}{37}

= 45 \frac{35}{37}

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Frequently Asked Questions (FAQ)

What is 170\div 370× 100 ?
The solution to 170\div 370× 100 is 45 35/37

170\div 370× 100

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 170\div 370× 100 ?

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