What is 800\div 7-7\div 1/7 ?

The solution to 800\div 7-7\div 1/7 is 65 2/7

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Popular Pre Algebra >

800\div 7-7\div 1/7

Solution

800 \div 7 - 7 \div \frac{1}{7}

Solution

65 \frac{2}{7}

Decimal

65.28571 \dots

Solution steps

800 \div 7 - 7 \div \frac{1}{7}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

800 \div 7 : \frac{800}{7}

800 \div 7

800 \div 7 = \frac{800}{7}

= \frac{800}{7}

= \frac{800}{7} - 7 \div \frac{1}{7}

Multiply and divide (left to right)

7 \div \frac{1}{7} : 49

7 \div \frac{1}{7}

Convert element to fraction:

7 = \frac{7}{1}

= \frac{7}{1} \div \frac{1}{7}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{7}{1} \cdot \frac{7}{1}

Apply rule

\frac{a}{1} = a

= 7 \cdot 7

Multiply the numbers:

7 \cdot 7 = 49

= 49

= \frac{800}{7} - 49

Add and subtract (left to right)

\frac{800}{7} - 49 : \frac{457}{7}

\frac{800}{7} - 49

\frac{800}{7} - 49 = \frac{457}{7}

\frac{800}{7} - 49

Convert element to fraction:

49 = \frac{49 \cdot 7}{7}

= - \frac{49 \cdot 7}{7} + \frac{800}{7}

Since the denominators are equal, combine the fractions:

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

= \frac{- 49 \cdot 7 + 800}{7}

- 49 \cdot 7 + 800 = 457

- 49 \cdot 7 + 800

Multiply the numbers:

49 \cdot 7 = 343

= - 343 + 800

Add/Subtract the numbers:

- 343 + 800 = 457

= 457

= \frac{457}{7}

= \frac{457}{7}

= \frac{457}{7}

Convert improper fractions to mixed numbers:

\frac{457}{7} = 65 \frac{2}{7}

\frac{457}{7} = 65

Remainder

2

\frac{457}{7}

Write the problem in long division format

7 \overline{∣ 457}

Divide

45

7

to get

6

Divide

45

7

to get

6

6 7 \overline{∣ 457}

Multiply the quotient digit

(6)

by the divisor

7

6 7 \overline{∣ 457} \underline{42}

Subtract

42

from

45

6 7 \overline{∣ 457} \underline{42} 3

Bring down the next number of the dividend

6 7 \overline{∣ 457} \underline{42} 37

6 7 \overline{∣ 457} \underline{42} 37

Divide

37

7

to get

5

Divide

37

7

to get

5

65 7 \overline{∣ 457} \underline{42} 37

Multiply the quotient digit

(5)

by the divisor

7

65 7 \overline{∣ 457} \underline{42} 37 \underline{35}

Subtract

35

from

37

65 7 \overline{∣ 457} \underline{42} 37 \underline{35} 2

65 7 \overline{∣ 457} \underline{42} 37 \underline{35} 2

The solution for Long Division of

\frac{457}{7}

65

with remainder of

2

65 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{457}{7} = 65 \frac{2}{7}

= 65 \frac{2}{7}

= 65 \frac{2}{7}

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Frequently Asked Questions (FAQ)

What is 800\div 7-7\div 1/7 ?
The solution to 800\div 7-7\div 1/7 is 65 2/7

800\div 7-7\div 1/7

Solution

Solution

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Frequently Asked Questions (FAQ)

What is 800\div 7-7\div 1/7 ?

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