What is -1 1/4+3/4+(-1) ?

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

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-1 1/4+3/4+(-1)

- 1 \frac{1}{4} + \frac{3}{4} + (- 1)

- \frac{3}{2}

Solution steps

- 1 \frac{1}{4} + \frac{3}{4} + (- 1)

Convert mixed numbers to improper fractions:

1 \frac{1}{4} = \frac{5}{4}

1 \frac{1}{4}

Convert mixed numbers to improper fraction:

a \frac{b}{c} = \frac{a \cdot c + b}{c}

1 \frac{1}{4} = \frac{1 \cdot 4 + 1}{4}

= \frac{5}{4}

= - \frac{5}{4} + \frac{3}{4} + (- 1)

Follow the PEMDAS order of operations

Add and subtract (left to right)

- \frac{5}{4} + \frac{3}{4} + (- 1) : - \frac{3}{2}

- \frac{5}{4} + \frac{3}{4} + (- 1)

- \frac{5}{4} + \frac{3}{4} = - \frac{1}{2}

- \frac{5}{4} + \frac{3}{4}

Apply rule

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

= \frac{- 5 + 3}{4}

Add/Subtract the numbers:

- 5 + 3 = - 2

= \frac{- 2}{4}

Apply the fraction rule:

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

= - \frac{2}{4}

Cancel the common factor:

2

= - \frac{1}{2}

= - \frac{1}{2} + (- 1)

Apply rule

+ (- a) = - a

+ (- 1) = - 1

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

- \frac{1}{2} - 1 = - \frac{3}{2}

- \frac{1}{2} - 1

Convert element to fraction:

1 = \frac{1 \cdot 2}{2}

= - \frac{1 \cdot 2}{2} - \frac{1}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{- 1 \cdot 2 - 1}{2}

- 1 \cdot 2 - 1 = - 3

- 1 \cdot 2 - 1

Multiply the numbers:

1 \cdot 2 = 2

= - 2 - 1

Subtract the numbers:

- 2 - 1 = - 3

= - 3

= \frac{- 3}{2}

Apply the fraction rule:

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

= - \frac{3}{2}

= - \frac{3}{2}

= - \frac{3}{2}

8^{2} + 1

8^{2} + 4

\frac{( 11 \cdot 16 ) ^{4}}{2 ^{24}}

6 \times 3 - 4 (5) (6)

- 10 + 20 - (- 18)