What is 260/3*56+34720 ?

The solution to 260/3*56+34720 is 39573 1/3

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Popular Pre Algebra >

260/3*56+34720

Solution

\frac{260}{3} \cdot 56 + 34720

Solution

39573 \frac{1}{3}

Decimal

39573.33333 \dots

Solution steps

\frac{260}{3} \cdot 56 + 34720

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{260}{3} \cdot 56 : \frac{14560}{3}

\frac{260}{3} \cdot 56

Convert element to fraction:

56 = \frac{56}{1}

= \frac{260}{3} \cdot \frac{56}{1}

Apply the fraction rule:

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

= \frac{260 \cdot 56}{3 \cdot 1}

Multiply the numbers:

260 \cdot 56 = 14560

= \frac{14560}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{14560}{3}

= \frac{14560}{3} + 34720

Add and subtract (left to right)

\frac{14560}{3} + 34720 : \frac{118720}{3}

\frac{14560}{3} + 34720

\frac{14560}{3} + 34720 = \frac{118720}{3}

\frac{14560}{3} + 34720

Convert element to fraction:

34720 = \frac{34720 \cdot 3}{3}

= \frac{34720 \cdot 3}{3} + \frac{14560}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{34720 \cdot 3 + 14560}{3}

34720 \cdot 3 + 14560 = 118720

34720 \cdot 3 + 14560

Multiply the numbers:

34720 \cdot 3 = 104160

= 104160 + 14560

Add the numbers:

104160 + 14560 = 118720

= 118720

= \frac{118720}{3}

= \frac{118720}{3}

= \frac{118720}{3}

Convert improper fractions to mixed numbers:

\frac{118720}{3} = 39573 \frac{1}{3}

\frac{118720}{3} = 39573

Remainder

1

\frac{118720}{3}

Write the problem in long division format

3 \overline{∣ 118720}

Divide

11

3

to get

3

Divide

11

3

to get

3

3 3 \overline{∣ 118720}

Multiply the quotient digit

(3)

by the divisor

3

3 3 \overline{∣ 118720} \underline{9}

Subtract

9

from

11

3 3 \overline{∣ 118720} \underline{9} 2

Bring down the next number of the dividend

3 3 \overline{∣ 118720} \underline{9} 28

3 3 \overline{∣ 118720} \underline{9} 28

Divide

28

3

to get

9

Divide

28

3

to get

9

39 3 \overline{∣ 118720} \underline{9} 28

Multiply the quotient digit

(9)

by the divisor

3

39 3 \overline{∣ 118720} \underline{9} 28 \underline{27}

Subtract

27

from

28

39 3 \overline{∣ 118720} \underline{9} 28 \underline{27} 1

Bring down the next number of the dividend

39 3 \overline{∣ 118720} \underline{9} 28 \underline{27} 17

39 3 \overline{∣ 118720} \underline{9} 28 \underline{27} 17

Divide

17

3

to get

5

Divide

17

3

to get

5

395 3 \overline{∣ 118720} \underline{9} 28 \underline{27} 17

Multiply the quotient digit

(5)

by the divisor

3

395 3 \overline{∣ 118720} \underline{9} 28 \underline{27} 17 \underline{15}

Subtract

15

from

17

395 3 \overline{∣ 118720} \underline{9} 28 \underline{27} 17 \underline{15} 2

Bring down the next number of the dividend

395 3 \overline{∣ 118720} \underline{9} 28 \underline{27} 17 \underline{15} 22

395 3 \overline{∣ 118720} \underline{9} 28 \underline{27} 17 \underline{15} 22

Divide

22

3

to get

7

Divide

22

3

to get

7

3957 3 \overline{∣ 118720} \underline{9} 28 \underline{27} 17 \underline{15} 22

Multiply the quotient digit

(7)

by the divisor

3

3957 3 \overline{∣ 118720} \underline{9} 28 \underline{27} 17 \underline{15} 22 \underline{21}

Subtract

21

from

22

3957 3 \overline{∣ 118720} \underline{9} 28 \underline{27} 17 \underline{15} 22 \underline{21} 1

Bring down the next number of the dividend

3957 3 \overline{∣ 118720} \underline{9} 28 \underline{27} 17 \underline{15} 22 \underline{21} 10

3957 3 \overline{∣ 118720} \underline{9} 28 \underline{27} 17 \underline{15} 22 \underline{21} 10

Divide

10

3

to get

3

Divide

10

3

to get

3

39573 3 \overline{∣ 118720} \underline{9} 28 \underline{27} 17 \underline{15} 22 \underline{21} 10

Multiply the quotient digit

(3)

by the divisor

3

39573 3 \overline{∣ 118720} \underline{9} 28 \underline{27} 17 \underline{15} 22 \underline{21} 10 \underline{9}

Subtract

9

from

10

39573 3 \overline{∣ 118720} \underline{9} 28 \underline{27} 17 \underline{15} 22 \underline{21} 10 \underline{9} 1

39573 3 \overline{∣ 118720} \underline{9} 28 \underline{27} 17 \underline{15} 22 \underline{21} 10 \underline{9} 1

The solution for Long Division of

\frac{118720}{3}

39573

with remainder of

1

39573 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{118720}{3} = 39573 \frac{1}{3}

= 39573 \frac{1}{3}

= 39573 \frac{1}{3}

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What is 260/3*56+34720 ?
The solution to 260/3*56+34720 is 39573 1/3

260/3*56+34720

Solution

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Frequently Asked Questions (FAQ)

What is 260/3*56+34720 ?

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