What is 214+11/8+516 ?

The solution to 214+11/8+516 is 731 3/8

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Popular Pre Algebra >

214+11/8+516

Solution

214 + 11/8 + 516

Solution

731 \frac{3}{8}

Decimal

731.375

Solution steps

214 + 11/8 + 516

Follow the PEMDAS order of operations

Multiply and divide (left to right)

11/8 : \frac{11}{8}

11/8

11/8 = \frac{11}{8}

= \frac{11}{8}

= 214 + \frac{11}{8} + 516

Add and subtract (left to right)

214 + \frac{11}{8} + 516 : \frac{5851}{8}

214 + \frac{11}{8} + 516

214 + \frac{11}{8} = \frac{1723}{8}

214 + \frac{11}{8}

Convert element to fraction:

214 = \frac{214 \cdot 8}{8}

= \frac{214 \cdot 8}{8} + \frac{11}{8}

Since the denominators are equal, combine the fractions:

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

= \frac{214 \cdot 8 + 11}{8}

214 \cdot 8 + 11 = 1723

214 \cdot 8 + 11

Multiply the numbers:

214 \cdot 8 = 1712

= 1712 + 11

Add the numbers:

1712 + 11 = 1723

= 1723

= \frac{1723}{8}

= \frac{1723}{8} + 516

\frac{1723}{8} + 516 = \frac{5851}{8}

\frac{1723}{8} + 516

Convert element to fraction:

516 = \frac{516 \cdot 8}{8}

= \frac{516 \cdot 8}{8} + \frac{1723}{8}

Since the denominators are equal, combine the fractions:

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

= \frac{516 \cdot 8 + 1723}{8}

516 \cdot 8 + 1723 = 5851

516 \cdot 8 + 1723

Multiply the numbers:

516 \cdot 8 = 4128

= 4128 + 1723

Add the numbers:

4128 + 1723 = 5851

= 5851

= \frac{5851}{8}

= \frac{5851}{8}

= \frac{5851}{8}

Convert improper fractions to mixed numbers:

\frac{5851}{8} = 731 \frac{3}{8}

\frac{5851}{8} = 731

Remainder

3

\frac{5851}{8}

Write the problem in long division format

8 \overline{∣ 5851}

Divide

58

8

to get

7

Divide

58

8

to get

7

7 8 \overline{∣ 5851}

Multiply the quotient digit

(7)

by the divisor

8

7 8 \overline{∣ 5851} \underline{56}

Subtract

56

from

58

7 8 \overline{∣ 5851} \underline{56} 2

Bring down the next number of the dividend

7 8 \overline{∣ 5851} \underline{56} 25

7 8 \overline{∣ 5851} \underline{56} 25

Divide

25

8

to get

3

Divide

25

8

to get

3

73 8 \overline{∣ 5851} \underline{56} 25

Multiply the quotient digit

(3)

by the divisor

8

73 8 \overline{∣ 5851} \underline{56} 25 \underline{24}

Subtract

24

from

25

73 8 \overline{∣ 5851} \underline{56} 25 \underline{24} 1

Bring down the next number of the dividend

73 8 \overline{∣ 5851} \underline{56} 25 \underline{24} 11

73 8 \overline{∣ 5851} \underline{56} 25 \underline{24} 11

Divide

11

8

to get

1

Divide

11

8

to get

1

731 8 \overline{∣ 5851} \underline{56} 25 \underline{24} 11

Multiply the quotient digit

(1)

by the divisor

8

731 8 \overline{∣ 5851} \underline{56} 25 \underline{24} 11 \underline{8}

Subtract

8

from

11

731 8 \overline{∣ 5851} \underline{56} 25 \underline{24} 11 \underline{8} 3

731 8 \overline{∣ 5851} \underline{56} 25 \underline{24} 11 \underline{8} 3

The solution for Long Division of

\frac{5851}{8}

731

with remainder of

3

731 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{5851}{8} = 731 \frac{3}{8}

= 731 \frac{3}{8}

= 731 \frac{3}{8}

Popular Examples

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Frequently Asked Questions (FAQ)

What is 214+11/8+516 ?
The solution to 214+11/8+516 is 731 3/8

214+11/8+516

Solution

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Frequently Asked Questions (FAQ)

What is 214+11/8+516 ?

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