What is 670\div 180\times 20\div 41 ?

The solution to 670\div 180\times 20\div 41 is 1 301/369

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670\div 180\times 20\div 41

Solution

670 \div 180 \times 20 \div 41

Solution

1 \frac{301}{369}

Solution steps

670 \div 180 \times 20 \div 41

Follow the PEMDAS order of operations

Multiply and divide (left to right)

670 \div 180 = \frac{670}{180}

= \frac{670}{180} \times 20 \div 41

\frac{670}{180} \times 20 = \frac{670}{9}

\frac{670}{180} \cdot 20

Cancel

\frac{670}{180} : \frac{67}{18}

\frac{670}{180}

Factor the number:

670 = 10 \cdot 67

= \frac{10 \cdot 67}{180}

Factor the number:

180 = 10 \cdot 18

= \frac{10 \cdot 67}{10 \cdot 18}

Cancel the common factor:

10

= \frac{67}{18}

= \frac{67}{18} \cdot 20

\frac{67}{18} \cdot 20 = \frac{670}{9}

\frac{67}{18} \cdot 20

Convert element to fraction:

20 = \frac{20}{1}

= \frac{67}{18} \cdot \frac{20}{1}

Apply the fraction rule:

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

= \frac{67 \cdot 20}{18 \cdot 1}

Cancel

\frac{67 \cdot 20}{18 \cdot 1} : \frac{670}{9}

\frac{67 \cdot 20}{18 \cdot 1}

Multiply the numbers:

18 \cdot 1 = 18

= \frac{67 \cdot 20}{18}

Factor the number:

20 = 2 \cdot 10

= \frac{67 \cdot 2 \cdot 10}{18}

Factor the number:

18 = 2 \cdot 9

= \frac{67 \cdot 2 \cdot 10}{2 \cdot 9}

Cancel the common factor:

2

= \frac{67 \cdot 10}{9}

Multiply the numbers:

67 \cdot 10 = 670

= \frac{670}{9}

= \frac{670}{9}

= \frac{670}{9}

= \frac{670}{9} \div 41

\frac{670}{9} \div 41 = \frac{670}{369}

\frac{670}{9} \div 41

Convert element to fraction:

41 = \frac{41}{1}

= \frac{670}{9} \div \frac{41}{1}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{670}{9} \cdot \frac{1}{41}

Multiply fractions:

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

= \frac{670 \cdot 1}{9 \cdot 41}

Multiply the numbers:

670 \cdot 1 = 670

= \frac{670}{9 \cdot 41}

Multiply the numbers:

9 \cdot 41 = 369

= \frac{670}{369}

= \frac{670}{369}

Convert improper fractions to mixed numbers:

\frac{670}{369} = 1 \frac{301}{369}

\frac{670}{369} = 1

Remainder

301

\frac{670}{369}

Write the problem in long division format

369 \overline{∣ 670}

Divide

670

369

to get

1

Divide

670

369

to get

1

1 369 \overline{∣ 670}

Multiply the quotient digit

(1)

by the divisor

369

1 369 \overline{∣ 670} \underline{369}

Subtract

369

from

670

1 369 \overline{∣ 670} \underline{369} 301

1 369 \overline{∣ 670} \underline{369} 301

The solution for Long Division of

\frac{670}{369}

1

with remainder of

301

1 Remainder 301

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{670}{369} = 1 \frac{301}{369}

= 1 \frac{301}{369}

= 1 \frac{301}{369}

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Frequently Asked Questions (FAQ)

What is 670\div 180\times 20\div 41 ?
The solution to 670\div 180\times 20\div 41 is 1 301/369