What is -1/3*56+112 ?

The solution to -1/3*56+112 is 93 1/3

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Popular Pre Algebra >

-1/3*56+112

Solution

- \frac{1}{3} \cdot 56 + 112

Solution

93 \frac{1}{3}

Decimal

93.33333 \dots

Solution steps

- \frac{1}{3} \cdot 56 + 112

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- \frac{1}{3} \cdot 56 : - \frac{56}{3}

- \frac{1}{3} \cdot 56

Convert element to fraction:

56 = \frac{56}{1}

= - \frac{1}{3} \cdot \frac{56}{1}

Apply the fraction rule:

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

\frac{1}{3} \cdot \frac{56}{1} = \frac{1 \cdot 56}{3 \cdot 1}

= - \frac{1 \cdot 56}{3 \cdot 1}

Multiply the numbers:

1 \cdot 56 = 56

= - \frac{56}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= - \frac{56}{3}

= - \frac{56}{3} + 112

Add and subtract (left to right)

- \frac{56}{3} + 112 : \frac{280}{3}

- \frac{56}{3} + 112

- \frac{56}{3} + 112 = \frac{280}{3}

- \frac{56}{3} + 112

Convert element to fraction:

112 = \frac{112 \cdot 3}{3}

= \frac{112 \cdot 3}{3} - \frac{56}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{112 \cdot 3 - 56}{3}

112 \cdot 3 - 56 = 280

112 \cdot 3 - 56

Multiply the numbers:

112 \cdot 3 = 336

= 336 - 56

Subtract the numbers:

336 - 56 = 280

= 280

= \frac{280}{3}

= \frac{280}{3}

= \frac{280}{3}

Convert improper fractions to mixed numbers:

\frac{280}{3} = 93 \frac{1}{3}

\frac{280}{3} = 93

Remainder

1

\frac{280}{3}

Write the problem in long division format

3 \overline{∣ 280}

Divide

28

3

to get

9

Divide

28

3

to get

9

9 3 \overline{∣ 280}

Multiply the quotient digit

(9)

by the divisor

3

9 3 \overline{∣ 280} \underline{27}

Subtract

27

from

28

9 3 \overline{∣ 280} \underline{27} 1

Bring down the next number of the dividend

9 3 \overline{∣ 280} \underline{27} 10

9 3 \overline{∣ 280} \underline{27} 10

Divide

10

3

to get

3

Divide

10

3

to get

3

93 3 \overline{∣ 280} \underline{27} 10

Multiply the quotient digit

(3)

by the divisor

3

93 3 \overline{∣ 280} \underline{27} 10 \underline{9}

Subtract

9

from

10

93 3 \overline{∣ 280} \underline{27} 10 \underline{9} 1

93 3 \overline{∣ 280} \underline{27} 10 \underline{9} 1

The solution for Long Division of

\frac{280}{3}

93

with remainder of

1

93 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{280}{3} = 93 \frac{1}{3}

= 93 \frac{1}{3}

= 93 \frac{1}{3}

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What is -1/3*56+112 ?
The solution to -1/3*56+112 is 93 1/3

-1/3*56+112

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is -1/3*56+112 ?

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