What is 18× 54-58\div 98-3× 12 ?

The solution to 18× 54-58\div 98-3× 12 is 935 20/49

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Popular Pre Algebra >

18× 54-58\div 98-3× 12

Solution

18 \times 54 - 58 \div 98 - 3 \times 12

Solution

935 \frac{20}{49}

Decimal

935.40816 \dots

Solution steps

18 \times 54 - 58 \div 98 - 3 \times 12

Follow the PEMDAS order of operations

Multiply and divide (left to right)

18 \times 54 : 972

18 \times 54

18 \times 54 = 972

= 972

= 972 - 58 \div 98 - 3 \times 12

Multiply and divide (left to right)

58 \div 98 : \frac{58}{98}

58 \div 98

58 \div 98 = \frac{58}{98}

= \frac{58}{98}

= 972 - \frac{58}{98} - 3 \times 12

Multiply and divide (left to right)

3 \times 12 : 36

3 \times 12

3 \times 12 = 36

= 36

= 972 - \frac{58}{98} - 36

Add and subtract (left to right)

972 - \frac{58}{98} - 36 : \frac{45835}{49}

972 - \frac{58}{98} - 36

972 - \frac{58}{98} = \frac{47599}{49}

972 - \frac{58}{98}

Cancel

\frac{58}{98} : \frac{29}{49}

\frac{58}{98}

Cancel the common factor:

2

= \frac{29}{49}

= 972 - \frac{29}{49}

Convert element to fraction:

972 = \frac{972 \cdot 49}{49}

= \frac{972 \cdot 49}{49} - \frac{29}{49}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{972 \cdot 49 - 29}{49}

972 \cdot 49 - 29 = 47599

972 \cdot 49 - 29

Multiply the numbers:

972 \cdot 49 = 47628

= 47628 - 29

Subtract the numbers:

47628 - 29 = 47599

= 47599

= \frac{47599}{49}

= \frac{47599}{49} - 36

\frac{47599}{49} - 36 = \frac{45835}{49}

\frac{47599}{49} - 36

Convert element to fraction:

36 = \frac{36 \cdot 49}{49}

= - \frac{36 \cdot 49}{49} + \frac{47599}{49}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{- 36 \cdot 49 + 47599}{49}

- 36 \cdot 49 + 47599 = 45835

- 36 \cdot 49 + 47599

Multiply the numbers:

36 \cdot 49 = 1764

= - 1764 + 47599

Add/Subtract the numbers:

- 1764 + 47599 = 45835

= 45835

= \frac{45835}{49}

= \frac{45835}{49}

= \frac{45835}{49}

Convert improper fractions to mixed numbers:

\frac{45835}{49} = 935 \frac{20}{49}

\frac{45835}{49} = 935

Remainder

20

\frac{45835}{49}

Write the problem in long division format

49 \overline{∣ 45835}

Divide

458

49

to get

9

Divide

458

49

to get

9

9 49 \overline{∣ 45835}

Multiply the quotient digit

(9)

by the divisor

49

9 49 \overline{∣ 45835} \underline{441}

Subtract

441

from

458

9 49 \overline{∣ 45835} \underline{441} 17

Bring down the next number of the dividend

9 49 \overline{∣ 45835} \underline{441} 173

9 49 \overline{∣ 45835} \underline{441} 173

Divide

173

49

to get

3

Divide

173

49

to get

3

93 49 \overline{∣ 45835} \underline{441} 173

Multiply the quotient digit

(3)

by the divisor

49

93 49 \overline{∣ 45835} \underline{441} 173 \underline{147}

Subtract

147

from

173

93 49 \overline{∣ 45835} \underline{441} 173 \underline{147} 26

Bring down the next number of the dividend

93 49 \overline{∣ 45835} \underline{441} 173 \underline{147} 265

93 49 \overline{∣ 45835} \underline{441} 173 \underline{147} 265

Divide

265

49

to get

5

Divide

265

49

to get

5

935 49 \overline{∣ 45835} \underline{441} 173 \underline{147} 265

Multiply the quotient digit

(5)

by the divisor

49

935 49 \overline{∣ 45835} \underline{441} 173 \underline{147} 265 \underline{245}

Subtract

245

from

265

935 49 \overline{∣ 45835} \underline{441} 173 \underline{147} 265 \underline{245} 20

935 49 \overline{∣ 45835} \underline{441} 173 \underline{147} 265 \underline{245} 20

The solution for Long Division of

\frac{45835}{49}

935

with remainder of

20

935 Remainder 20

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{45835}{49} = 935 \frac{20}{49}

= 935 \frac{20}{49}

= 935 \frac{20}{49}

Popular Examples

5/12+((2)\div (4/8)-3)

Frequently Asked Questions (FAQ)

What is 18× 54-58\div 98-3× 12 ?
The solution to 18× 54-58\div 98-3× 12 is 935 20/49

18× 54-58\div 98-3× 12

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 18× 54-58\div 98-3× 12 ?

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