What is 30\div 90+12\div 99 ?

The solution to 30\div 90+12\div 99 is 5/11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Pre Algebra >

30\div 90+12\div 99

Solution

30 \div 90 + 12 \div 99

Solution

\frac{5}{11}

Decimal

0.45454 \dots

Solution steps

30 \div 90 + 12 \div 99

Follow the PEMDAS order of operations

Multiply and divide (left to right)

30 \div 90 : \frac{30}{90}

30 \div 90

30 \div 90 = \frac{30}{90}

= \frac{30}{90}

= \frac{30}{90} + 12 \div 99

Multiply and divide (left to right)

12 \div 99 : \frac{12}{99}

12 \div 99

12 \div 99 = \frac{12}{99}

= \frac{12}{99}

= \frac{30}{90} + \frac{12}{99}

Add and subtract (left to right)

\frac{30}{90} + \frac{12}{99} : \frac{5}{11}

\frac{30}{90} + \frac{12}{99}

\frac{30}{90} + \frac{12}{99} = \frac{5}{11}

\frac{30}{90} + \frac{12}{99}

Cancel

\frac{30}{90} : \frac{1}{3}

\frac{30}{90}

Cancel the common factor:

30

= \frac{1}{3}

= \frac{1}{3} + \frac{12}{99}

Cancel

\frac{12}{99} : \frac{4}{33}

\frac{12}{99}

Cancel the common factor:

3

= \frac{4}{33}

= \frac{1}{3} + \frac{4}{33}

Least Common Multiplier of

3, 33 : 33

3, 33

Least Common Multiplier (LCM)

Prime factorization of

3 : 3

3

3

is a prime number, therefore no factorization is possible

= 3

Prime factorization of

33 : 3 \cdot 11

33

33

divides by

333 = 11 \cdot 3

= 3 \cdot 11

3, 11

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 11

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

3

33

= 3 \cdot 11

Multiply the numbers:

3 \cdot 11 = 33

= 33

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

33

For

\frac{1}{3} :

multiply the denominator and numerator by

11

\frac{1}{3} = \frac{1 \cdot 11}{3 \cdot 11} = \frac{11}{33}

= \frac{11}{33} + \frac{4}{33}

Since the denominators are equal, combine the fractions:

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

= \frac{11 + 4}{33}

Add the numbers:

11 + 4 = 15

= \frac{15}{33}

Cancel the common factor:

3

= \frac{5}{11}

= \frac{5}{11}

= \frac{5}{11}

Popular Examples

1/5 (1/2+1/3)

-45\div (-2+12\div (-7+3)+12)

simplify-(44)/(-2)+(12)/((-7+3))+12

-70+120+(-19)+45+(-25)+(-9)

-1^3-3(-1)^2

Frequently Asked Questions (FAQ)

What is 30\div 90+12\div 99 ?
The solution to 30\div 90+12\div 99 is 5/11

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