What is 2-(3/8+7/4) ?

The solution to 2-(3/8+7/4) is -1/8

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Popular >

2-(3/8+7/4)

Solution

2 - (\frac{3}{8} + \frac{7}{4})

Solution

- \frac{1}{8}

Solution steps

2 - (\frac{3}{8} + \frac{7}{4})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{3}{8} + \frac{7}{4}) : \frac{17}{8}

\frac{3}{8} + \frac{7}{4}

\frac{3}{8} + \frac{7}{4} = \frac{17}{8}

\frac{3}{8} + \frac{7}{4}

Least Common Multiplier of

8, 4 : 8

8, 4

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

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

8

4

= 2 \cdot 2 \cdot 2

Multiply the numbers:

2 \cdot 2 \cdot 2 = 8

= 8

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

8

For

\frac{7}{4} :

multiply the denominator and numerator by

2

\frac{7}{4} = \frac{7 \cdot 2}{4 \cdot 2} = \frac{14}{8}

= \frac{3}{8} + \frac{14}{8}

Since the denominators are equal, combine the fractions:

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

= \frac{3 + 14}{8}

Add the numbers:

3 + 14 = 17

= \frac{17}{8}

= \frac{17}{8}

= 2 - \frac{17}{8}

Add and subtract (left to right)

2 - \frac{17}{8} : - \frac{1}{8}

2 - \frac{17}{8}

2 - \frac{17}{8} = - \frac{1}{8}

2 - \frac{17}{8}

Convert element to fraction:

2 = \frac{2 \cdot 8}{8}

= \frac{2 \cdot 8}{8} - \frac{17}{8}

Since the denominators are equal, combine the fractions:

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

= \frac{2 \cdot 8 - 17}{8}

2 \cdot 8 - 17 = - 1

2 \cdot 8 - 17

Multiply the numbers:

2 \cdot 8 = 16

= 16 - 17

Subtract the numbers:

16 - 17 = - 1

= - 1

= \frac{- 1}{8}

Apply the fraction rule:

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

= - \frac{1}{8}

= - \frac{1}{8}

= - \frac{1}{8}

Popular Examples

60\times 40\div 100

60 \times 40 \div 100

3+12\div 4-4+6

3 + 12 \div 4 - 4 + 6

-(3)^2+1

- (3)^{2} + 1

-(3)^2+3

- (3)^{2} + 3

16^2-9/64

1 6^{2} - \frac{9}{64}

Frequently Asked Questions (FAQ)

What is 2-(3/8+7/4) ?
The solution to 2-(3/8+7/4) is -1/8