What is (1\div 8)+(5\div 9) ?

The solution to (1\div 8)+(5\div 9) is 49/72

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Popular >

(1\div 8)+(5\div 9)

Solution

(1 \div 8) + (5 \div 9)

Solution

\frac{49}{72}

Solution steps

(1 \div 8) + (5 \div 9)

Follow the PEMDAS order of operations

Calculate within parentheses

(1 \div 8) : \frac{1}{8}

1 \div 8

1 \div 8 = \frac{1}{8}

= \frac{1}{8}

= \frac{1}{8} + (5 \div 9)

Calculate within parentheses

(5 \div 9) : \frac{5}{9}

5 \div 9

5 \div 9 = \frac{5}{9}

= \frac{5}{9}

= \frac{1}{8} + \frac{5}{9}

Add and subtract (left to right)

\frac{1}{8} + \frac{5}{9} : \frac{49}{72}

\frac{1}{8} + \frac{5}{9}

\frac{1}{8} + \frac{5}{9} = \frac{49}{72}

\frac{1}{8} + \frac{5}{9}

Least Common Multiplier of

8, 9 : 72

8, 9

Least Common Multiplier (LCM)

Prime factorization of

8 : 2 \cdot 2 \cdot 2

8

8

divides by

28 = 4 \cdot 2

= 2 \cdot 4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2 \cdot 2

Prime factorization of

9 : 3 \cdot 3

9

9

divides by

39 = 3 \cdot 3

= 3 \cdot 3

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

8

9

= 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3

Multiply the numbers:

2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 = 72

= 72

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

72

For

\frac{1}{8} :

multiply the denominator and numerator by

9

\frac{1}{8} = \frac{1 \cdot 9}{8 \cdot 9} = \frac{9}{72}

For

\frac{5}{9} :

multiply the denominator and numerator by

8

\frac{5}{9} = \frac{5 \cdot 8}{9 \cdot 8} = \frac{40}{72}

= \frac{9}{72} + \frac{40}{72}

Since the denominators are equal, combine the fractions:

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

= \frac{9 + 40}{72}

Add the numbers:

9 + 40 = 49

= \frac{49}{72}

= \frac{49}{72}

= \frac{49}{72}

Popular Examples

(3+2)^2+[3(4-6)^2]

(3 + 2)^{2} + [3 (4 - 6)^{2}]

(44+20)\div 4-2(9\div 3)-2[18+3(13-9)-5]

(44 + 20) \div 4 - 2 (9 \div 3) - 2 [18 + 3 (13 - 9) - 5]

16\div 2+8\times 2-3\times (5-2)

16 \div 2 + 8 \times 2 - 3 \times (5 - 2)

-1000000+760299+27769

- 1000000 + 760299 + 27769

3(2)^2-5(2)

3 (2)^{2} - 5 (2)

Frequently Asked Questions (FAQ)

What is (1\div 8)+(5\div 9) ?
The solution to (1\div 8)+(5\div 9) is 49/72