What is ((104-38)\div 104)\times 290 ?

The solution to ((104-38)\div 104)\times 290 is 184 1/26

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((104-38)\div 104)\times 290

Solution

((104 - 38) \div 104) \times 290

Solution

184 \frac{1}{26}

Solution steps

((104 - 38) \div 104) \times 290

Follow the PEMDAS order of operations

Calculate within parentheses

((104 - 38) \div 104) : \frac{66}{104}

(104 - 38) \div 104

Calculate within parentheses

(104 - 38) : 66

104 - 38

104 - 38 = 66

= 66

= 66 \div 104

Multiply and divide (left to right)

66 \div 104 : \frac{66}{104}

66 \div 104

66 \div 104 = \frac{66}{104}

= \frac{66}{104}

= \frac{66}{104}

= \frac{66}{104} \times 290

Multiply and divide (left to right)

\frac{66}{104} \times 290 : \frac{4785}{26}

\frac{66}{104} \times 290

Cancel

\frac{66}{104} : \frac{33}{52}

\frac{66}{104}

Factor the number:

66 = 2 \cdot 33

= \frac{2 \cdot 33}{104}

Factor the number:

104 = 2 \cdot 52

= \frac{2 \cdot 33}{2 \cdot 52}

Cancel the common factor:

2

= \frac{33}{52}

= \frac{33}{52} \cdot 290

\frac{33}{52} \cdot 290 = \frac{4785}{26}

\frac{33}{52} \cdot 290

Convert element to fraction:

290 = \frac{290}{1}

= \frac{33}{52} \cdot \frac{290}{1}

Apply the fraction rule:

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

= \frac{33 \cdot 290}{52 \cdot 1}

Cancel

\frac{33 \cdot 290}{52 \cdot 1} : \frac{4785}{26}

\frac{33 \cdot 290}{52 \cdot 1}

Multiply the numbers:

52 \cdot 1 = 52

= \frac{33 \cdot 290}{52}

Factor the number:

290 = 2 \cdot 145

= \frac{33 \cdot 2 \cdot 145}{52}

Factor the number:

52 = 2 \cdot 26

= \frac{33 \cdot 2 \cdot 145}{2 \cdot 26}

Cancel the common factor:

2

= \frac{33 \cdot 145}{26}

Multiply the numbers:

33 \cdot 145 = 4785

= \frac{4785}{26}

= \frac{4785}{26}

= \frac{4785}{26}

= \frac{4785}{26}

Convert improper fractions to mixed numbers:

\frac{4785}{26} = 184 \frac{1}{26}

\frac{4785}{26} = 184

Remainder

1

\frac{4785}{26}

Write the problem in long division format

26 \overline{∣ 4785}

Divide

47

26

to get

1

Divide

47

26

to get

1

1 26 \overline{∣ 4785}

Multiply the quotient digit

(1)

by the divisor

26

1 26 \overline{∣ 4785} \underline{26}

Subtract

26

from

47

1 26 \overline{∣ 4785} \underline{26} 21

Bring down the next number of the dividend

1 26 \overline{∣ 4785} \underline{26} 218

1 26 \overline{∣ 4785} \underline{26} 218

Divide

218

26

to get

8

Divide

218

26

to get

8

18 26 \overline{∣ 4785} \underline{26} 218

Multiply the quotient digit

(8)

by the divisor

26

18 26 \overline{∣ 4785} \underline{26} 218 \underline{208}

Subtract

208

from

218

18 26 \overline{∣ 4785} \underline{26} 218 \underline{208} 10

Bring down the next number of the dividend

18 26 \overline{∣ 4785} \underline{26} 218 \underline{208} 105

18 26 \overline{∣ 4785} \underline{26} 218 \underline{208} 105

Divide

105

26

to get

4

Divide

105

26

to get

4

184 26 \overline{∣ 4785} \underline{26} 218 \underline{208} 105

Multiply the quotient digit

(4)

by the divisor

26

184 26 \overline{∣ 4785} \underline{26} 218 \underline{208} 105 \underline{104}

Subtract

104

from

105

184 26 \overline{∣ 4785} \underline{26} 218 \underline{208} 105 \underline{104} 1

184 26 \overline{∣ 4785} \underline{26} 218 \underline{208} 105 \underline{104} 1

The solution for Long Division of

\frac{4785}{26}

184

with remainder of

1

184 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{4785}{26} = 184 \frac{1}{26}

= 184 \frac{1}{26}

= 184 \frac{1}{26}

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Frequently Asked Questions (FAQ)

What is ((104-38)\div 104)\times 290 ?
The solution to ((104-38)\div 104)\times 290 is 184 1/26