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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Pre Algebra >

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

Solution

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

Solution

\frac{49}{72}

Decimal

0.68055 \dots

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]

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

16\div 2+8× 2-3× (5-2)

-1000000+760299+27769

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

Popular topics

imaginary number calculator ratio test calculator asymptote calculator remainder calculator linear approximation calculator rational equation calculator absolute value calculator riemann sum calculator acceleration calculator area between curves calculator domain and range calculator sequence calculator integration by parts calculator slope intercept form calculator eigenvector calculator trig identities calculator power series calculator transformation calculator hours calculator parabola calculator percentage calculator average rate of change calculator age calculator volume calculator chain rule calculator concavity calculator row echelon form calculator p value calculator end behavior calculator fourier transform calculator trinomial calculator factor by grouping calculator improper integral calculator rational number calculator multiplying polynomials calculator variable calculator pemdas calculator pythagorean theorem calculator function calculator u substitution calculator