What is 7\div 9+6\div 11 ?

The solution to 7\div 9+6\div 11 is 1 32/99

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Popular Pre Algebra >

7\div 9+6\div 11

Solution

7 \div 9 + 6 \div 11

Solution

1 \frac{32}{99}

Decimal

1.32323 \dots

Solution steps

7 \div 9 + 6 \div 11

Follow the PEMDAS order of operations

Multiply and divide (left to right)

7 \div 9 : \frac{7}{9}

7 \div 9

7 \div 9 = \frac{7}{9}

= \frac{7}{9}

= \frac{7}{9} + 6 \div 11

Multiply and divide (left to right)

6 \div 11 : \frac{6}{11}

6 \div 11

6 \div 11 = \frac{6}{11}

= \frac{6}{11}

= \frac{7}{9} + \frac{6}{11}

Add and subtract (left to right)

\frac{7}{9} + \frac{6}{11} : \frac{131}{99}

\frac{7}{9} + \frac{6}{11}

\frac{7}{9} + \frac{6}{11} = \frac{131}{99}

\frac{7}{9} + \frac{6}{11}

Least Common Multiplier of

9, 11 : 99

9, 11

Least Common Multiplier (LCM)

Prime factorization of

9 : 3 \cdot 3

9

9

divides by

39 = 3 \cdot 3

= 3 \cdot 3

Prime factorization of

11 : 11

11

11

is a prime number, therefore no factorization is possible

= 11

Multiply each factor the greatest number of times it occurs in either

9

11

= 3 \cdot 3 \cdot 11

Multiply the numbers:

3 \cdot 3 \cdot 11 = 99

= 99

Adjust Fractions based on the LCM

Multiply each numerator by the same amount needed to multiply its

corresponding denominator to turn it into the LCM

99

For

\frac{7}{9} :

multiply the denominator and numerator by

11

\frac{7}{9} = \frac{7 \cdot 11}{9 \cdot 11} = \frac{77}{99}

For

\frac{6}{11} :

multiply the denominator and numerator by

9

\frac{6}{11} = \frac{6 \cdot 9}{11 \cdot 9} = \frac{54}{99}

= \frac{77}{99} + \frac{54}{99}

Since the denominators are equal, combine the fractions:

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

= \frac{77 + 54}{99}

Add the numbers:

77 + 54 = 131

= \frac{131}{99}

= \frac{131}{99}

= \frac{131}{99}

Convert improper fractions to mixed numbers:

\frac{131}{99} = 1 \frac{32}{99}

\frac{131}{99} = 1

Remainder

32

\frac{131}{99}

Write the problem in long division format

99 \overline{∣ 131}

Divide

131

99

to get

1

Divide

131

99

to get

1

1 99 \overline{∣ 131}

Multiply the quotient digit

(1)

by the divisor

99

1 99 \overline{∣ 131} \underline{99}

Subtract

99

from

131

1 99 \overline{∣ 131} \underline{99} 32

1 99 \overline{∣ 131} \underline{99} 32

The solution for Long Division of

\frac{131}{99}

1

with remainder of

32

1 Remainder 32

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{131}{99} = 1 \frac{32}{99}

= 1 \frac{32}{99}

= 1 \frac{32}{99}

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36\div 3-1+7*2

-5+4-7+8+3-5+2

((-3)(-4)+(-1)(+2)-(1)(-2))\div (+2)(-2)

20\div 5+2/3-1/6

10-[-2+(-3-4-1)+1-(-4-2+3-1)-4]

Frequently Asked Questions (FAQ)

What is 7\div 9+6\div 11 ?
The solution to 7\div 9+6\div 11 is 1 32/99

7\div 9+6\div 11

Solution

Solution

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Frequently Asked Questions (FAQ)

What is 7\div 9+6\div 11 ?

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