The solution to 78\div 5-5 is 10 3/5

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Popular Pre Algebra >

78\div 5-5

Solution

78 \div 5 - 5

Solution

10 \frac{3}{5}

Decimal

10.6

Solution steps

78 \div 5 - 5

Follow the PEMDAS order of operations

Multiply and divide (left to right)

78 \div 5 : \frac{78}{5}

78 \div 5

78 \div 5 = \frac{78}{5}

= \frac{78}{5}

= \frac{78}{5} - 5

Add and subtract (left to right)

\frac{78}{5} - 5 : \frac{53}{5}

\frac{78}{5} - 5

\frac{78}{5} - 5 = \frac{53}{5}

\frac{78}{5} - 5

Convert element to fraction:

5 = \frac{5 \cdot 5}{5}

= - \frac{5 \cdot 5}{5} + \frac{78}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{- 5 \cdot 5 + 78}{5}

- 5 \cdot 5 + 78 = 53

- 5 \cdot 5 + 78

Multiply the numbers:

5 \cdot 5 = 25

= - 25 + 78

Add/Subtract the numbers:

- 25 + 78 = 53

= 53

= \frac{53}{5}

= \frac{53}{5}

= \frac{53}{5}

Convert improper fractions to mixed numbers:

\frac{53}{5} = 10 \frac{3}{5}

\frac{53}{5} = 10

Remainder

3

\frac{53}{5}

Write the problem in long division format

5 \overline{∣ 53}

Divide

5

5

to get

1

Divide

5

5

to get

1

1 5 \overline{∣ 53}

Multiply the quotient digit

(1)

by the divisor

5

1 5 \overline{∣ 53} \underline{5}

Subtract

5

from

5

1 5 \overline{∣ 53} \underline{5} 0

Bring down the next number of the dividend

1 5 \overline{∣ 53} \underline{5} 03

1 5 \overline{∣ 53} \underline{5} 03

Divide

3

5

to get

0

Divide

3

5

to get

0

10 5 \overline{∣ 53} \underline{5} 03

Multiply the quotient digit

(0)

by the divisor

5

10 5 \overline{∣ 53} \underline{5} 03 \underline{0}

Subtract

0

from

3

10 5 \overline{∣ 53} \underline{5} 03 \underline{0} 3

10 5 \overline{∣ 53} \underline{5} 03 \underline{0} 3

The solution for Long Division of

\frac{53}{5}

10

with remainder of

3

10 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{53}{5} = 10 \frac{3}{5}

= 10 \frac{3}{5}

= 10 \frac{3}{5}

Popular Examples

2^2*[3^2-(4+8)]+(4+2)

Frequently Asked Questions (FAQ)

What is 78\div 5-5 ?
The solution to 78\div 5-5 is 10 3/5

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78\div 5-5

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 78\div 5-5 ?

Popular topics