What is 643\div 7+36-49 ?

The solution to 643\div 7+36-49 is 78 6/7

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Popular >

643\div 7+36-49

Solution

643 \div 7 + 36 - 49

Solution

78 \frac{6}{7}

Solution steps

643 \div 7 + 36 - 49

Follow the PEMDAS order of operations

Multiply and divide (left to right)

643 \div 7 : \frac{643}{7}

643 \div 7

643 \div 7 = \frac{643}{7}

= \frac{643}{7}

= \frac{643}{7} + 36 - 49

Add and subtract (left to right)

\frac{643}{7} + 36 - 49 : \frac{552}{7}

\frac{643}{7} + 36 - 49

\frac{643}{7} + 36 = \frac{895}{7}

\frac{643}{7} + 36

Convert element to fraction:

36 = \frac{36 \cdot 7}{7}

= \frac{36 \cdot 7}{7} + \frac{643}{7}

Since the denominators are equal, combine the fractions:

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

= \frac{36 \cdot 7 + 643}{7}

36 \cdot 7 + 643 = 895

36 \cdot 7 + 643

Multiply the numbers:

36 \cdot 7 = 252

= 252 + 643

Add the numbers:

252 + 643 = 895

= 895

= \frac{895}{7}

= \frac{895}{7} - 49

\frac{895}{7} - 49 = \frac{552}{7}

\frac{895}{7} - 49

Convert element to fraction:

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

= - \frac{49 \cdot 7}{7} + \frac{895}{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 + 895}{7}

- 49 \cdot 7 + 895 = 552

- 49 \cdot 7 + 895

Multiply the numbers:

49 \cdot 7 = 343

= - 343 + 895

Add/Subtract the numbers:

- 343 + 895 = 552

= 552

= \frac{552}{7}

= \frac{552}{7}

= \frac{552}{7}

Convert improper fractions to mixed numbers:

\frac{552}{7} = 78 \frac{6}{7}

\frac{552}{7} = 78

Remainder

6

\frac{552}{7}

Write the problem in long division format

7 \overline{∣ 552}

Divide

55

7

to get

7

Divide

55

7

to get

7

7 7 \overline{∣ 552}

Multiply the quotient digit

(7)

by the divisor

7

7 7 \overline{∣ 552} \underline{49}

Subtract

49

from

55

7 7 \overline{∣ 552} \underline{49} 6

Bring down the next number of the dividend

7 7 \overline{∣ 552} \underline{49} 62

7 7 \overline{∣ 552} \underline{49} 62

Divide

62

7

to get

8

Divide

62

7

to get

8

78 7 \overline{∣ 552} \underline{49} 62

Multiply the quotient digit

(8)

by the divisor

7

78 7 \overline{∣ 552} \underline{49} 62 \underline{56}

Subtract

56

from

62

78 7 \overline{∣ 552} \underline{49} 62 \underline{56} 6

78 7 \overline{∣ 552} \underline{49} 62 \underline{56} 6

The solution for Long Division of

\frac{552}{7}

78

with remainder of

6

78 Remainder 6

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{552}{7} = 78 \frac{6}{7}

= 78 \frac{6}{7}

= 78 \frac{6}{7}

Popular Examples

840\div 20-17\times 3+16

840 \div 20 - 17 \times 3 + 16

1+(-2)\times (-2/7)

1 + (- 2) \times (- \frac{2}{7})

-3(2)^24

- 3 (2)^{2} 4

2+5-3\times 2+10-10\div 5

2 + 5 - 3 \times 2 + 10 - 10 \div 5

(-2-8)/(-4+5)

\frac{- 2 - 8}{- 4 + 5}

Frequently Asked Questions (FAQ)

What is 643\div 7+36-49 ?
The solution to 643\div 7+36-49 is 78 6/7