What is 13/36-5/4-2/9 ?

The solution to 13/36-5/4-2/9 is -10/9

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Popular >

13/36-5/4-2/9

Solution

13/36 - 5/4 - 2/9

Solution

- \frac{10}{9}

Solution steps

13/36 - 5/4 - 2/9

Follow the PEMDAS order of operations

Multiply and divide (left to right)

13/36 : \frac{13}{36}

13/36

13/36 = \frac{13}{36}

= \frac{13}{36}

= \frac{13}{36} - 5/4 - 2/9

Multiply and divide (left to right)

5/4 : \frac{5}{4}

5/4

5/4 = \frac{5}{4}

= \frac{5}{4}

= \frac{13}{36} - \frac{5}{4} - 2/9

Multiply and divide (left to right)

2/9 : \frac{2}{9}

2/9

2/9 = \frac{2}{9}

= \frac{2}{9}

= \frac{13}{36} - \frac{5}{4} - \frac{2}{9}

Add and subtract (left to right)

\frac{13}{36} - \frac{5}{4} - \frac{2}{9} : - \frac{10}{9}

\frac{13}{36} - \frac{5}{4} - \frac{2}{9}

\frac{13}{36} - \frac{5}{4} = - \frac{8}{9}

\frac{13}{36} - \frac{5}{4}

Least Common Multiplier of

36, 4 : 36

36, 4

Least Common Multiplier (LCM)

Prime factorization of

36 : 2 \cdot 2 \cdot 3 \cdot 3

36

36

divides by

236 = 18 \cdot 2

= 2 \cdot 18

18

divides by

218 = 9 \cdot 2

= 2 \cdot 2 \cdot 9

9

divides by

39 = 3 \cdot 3

= 2 \cdot 2 \cdot 3 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 3 \cdot 3

Prime factorization of

4 : 2 \cdot 2

4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2

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

36

4

= 2 \cdot 2 \cdot 3 \cdot 3

Multiply the numbers:

2 \cdot 2 \cdot 3 \cdot 3 = 36

= 36

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

36

For

\frac{5}{4} :

multiply the denominator and numerator by

9

\frac{5}{4} = \frac{5 \cdot 9}{4 \cdot 9} = \frac{45}{36}

= \frac{13}{36} - \frac{45}{36}

Since the denominators are equal, combine the fractions:

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

= \frac{13 - 45}{36}

Subtract the numbers:

13 - 45 = - 32

= \frac{- 32}{36}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{32}{36}

Cancel the common factor:

4

= - \frac{8}{9}

= - \frac{8}{9} - \frac{2}{9}

- \frac{8}{9} - \frac{2}{9} = - \frac{10}{9}

- \frac{8}{9} - \frac{2}{9}

Apply rule

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

= \frac{- 8 - 2}{9}

Subtract the numbers:

- 8 - 2 = - 10

= \frac{- 10}{9}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{10}{9}

= - \frac{10}{9}

= - \frac{10}{9}

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-1(-(-2)-1)^2-7

- 1 (- (- 2) - 1)^{2} - 7

6+(8)(3)+9

6 + (8) (3) + 9

6(7*7)

6 (7 \cdot 7)

-4+2[3-1+2(5-9)]

- 4 + 2 [3 - 1 + 2 (5 - 9)]

Frequently Asked Questions (FAQ)

What is 13/36-5/4-2/9 ?
The solution to 13/36-5/4-2/9 is -10/9