The solution to -3/4 (5)+1 is -11/4

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-3/4 (5)+1

Solution

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

- \frac{11}{4}

Solution steps

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- \frac{3}{4} (5) : - \frac{15}{4}

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

Apply rule:

(a) = a

(5) = 5

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

- \frac{3}{4} \cdot 5 = - \frac{15}{4}

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

Convert element to fraction:

5 = \frac{5}{1}

= - \frac{3}{4} \cdot \frac{5}{1}

Apply the fraction rule:

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

\frac{3}{4} \cdot \frac{5}{1} = \frac{3 \cdot 5}{4 \cdot 1}

= - \frac{3 \cdot 5}{4 \cdot 1}

Multiply the numbers:

3 \cdot 5 = 15

= - \frac{15}{4 \cdot 1}

Multiply the numbers:

4 \cdot 1 = 4

= - \frac{15}{4}

= - \frac{15}{4}

= - \frac{15}{4} + 1

Add and subtract (left to right)

- \frac{15}{4} + 1 : - \frac{11}{4}

- \frac{15}{4} + 1

- \frac{15}{4} + 1 = - \frac{11}{4}

- \frac{15}{4} + 1

Convert element to fraction:

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

= \frac{1 \cdot 4}{4} - \frac{15}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{1 \cdot 4 - 15}{4}

1 \cdot 4 - 15 = - 11

1 \cdot 4 - 15

Multiply the numbers:

1 \cdot 4 = 4

= 4 - 15

Subtract the numbers:

4 - 15 = - 11

= - 11

= \frac{- 11}{4}

Apply the fraction rule:

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

= - \frac{11}{4}

= - \frac{11}{4}

= - \frac{11}{4}

3^{10} - 2^{10}

(- 1)^{3} + 4 (- 1) + 6

180 - 70 - 60

48 \times 60 \div 1

(+ 45) + (- 52) + (- 18)