What is -3+66/60+25/60 ?

The solution to -3+66/60+25/60 is -89/60

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Popular >

-3+66/60+25/60

Solution

- 3 + \frac{66}{60} + \frac{25}{60}

Solution

- \frac{89}{60}

Solution steps

- 3 + \frac{66}{60} + \frac{25}{60}

\frac{66}{60} = \frac{11}{10}

Cancel the common factor:

6

\frac{11}{10}

= - 3 + \frac{11}{10} + \frac{25}{60}

\frac{25}{60} = \frac{5}{12}

Cancel the common factor:

5

\frac{5}{12}

= - 3 + \frac{11}{10} + \frac{5}{12}

Follow the PEMDAS order of operations

Add and subtract (left to right)

- 3 + \frac{11}{10} + \frac{5}{12} : - \frac{89}{60}

- 3 + \frac{11}{10} + \frac{5}{12}

- 3 + \frac{11}{10} = - \frac{19}{10}

= - \frac{19}{10} + \frac{5}{12}

- \frac{19}{10} + \frac{5}{12} = - \frac{89}{60}

- \frac{19}{10} + \frac{5}{12}

Least Common Multiplier of

10, 12 : 60

10, 12

Least Common Multiplier (LCM)

Prime factorization of

10 : 2 \cdot 5

10

10

divides by

210 = 5 \cdot 2

= 2 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 5

Prime factorization of

12 : 2 \cdot 2 \cdot 3

12

12

divides by

212 = 6 \cdot 2

= 2 \cdot 6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 3

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

10

12

= 2 \cdot 2 \cdot 5 \cdot 3

Multiply the numbers:

2 \cdot 2 \cdot 5 \cdot 3 = 60

= 60

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

60

For

\frac{19}{10} :

multiply the denominator and numerator by

6

\frac{19}{10} = \frac{19 \cdot 6}{10 \cdot 6} = \frac{114}{60}

For

\frac{5}{12} :

multiply the denominator and numerator by

5

\frac{5}{12} = \frac{5 \cdot 5}{12 \cdot 5} = \frac{25}{60}

= - \frac{114}{60} + \frac{25}{60}

Since the denominators are equal, combine the fractions:

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

= \frac{- 114 + 25}{60}

Add/Subtract the numbers:

- 114 + 25 = - 89

= \frac{- 89}{60}

Apply the fraction rule:

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

= - \frac{89}{60}

= - \frac{89}{60}

= - \frac{89}{60}

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Frequently Asked Questions (FAQ)

What is -3+66/60+25/60 ?
The solution to -3+66/60+25/60 is -89/60