What is 3\times 5/8-1 1/8 ?

The solution to 3\times 5/8-1 1/8 is 3/4

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3\times 5/8-1 1/8

3 \cdot \frac{5}{8} - 1 \frac{1}{8}

\frac{3}{4}

Solution steps

3 \cdot \frac{5}{8} - 1 \frac{1}{8}

Convert mixed numbers to improper fractions:

1 \frac{1}{8} = \frac{9}{8}

1 \frac{1}{8}

Convert mixed numbers to improper fraction:

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

1 \frac{1}{8} = \frac{1 \cdot 8 + 1}{8}

= \frac{9}{8}

= 3 \cdot \frac{5}{8} - \frac{9}{8}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3 \cdot \frac{5}{8} : \frac{15}{8}

3 \cdot \frac{5}{8}

Convert element to fraction:

3 = \frac{3}{1}

= \frac{3}{1} \cdot \frac{5}{8}

Apply the fraction rule:

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

= \frac{3 \cdot 5}{1 \cdot 8}

Multiply the numbers:

3 \cdot 5 = 15

= \frac{15}{1 \cdot 8}

Multiply the numbers:

1 \cdot 8 = 8

= \frac{15}{8}

= \frac{15}{8} - \frac{9}{8}

Add and subtract (left to right)

\frac{15}{8} - \frac{9}{8} : \frac{3}{4}

\frac{15}{8} - \frac{9}{8}

\frac{15}{8} - \frac{9}{8} = \frac{3}{4}

\frac{15}{8} - \frac{9}{8}

Apply rule

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

= \frac{15 - 9}{8}

Subtract the numbers:

15 - 9 = 6

= \frac{6}{8}

Cancel the common factor:

2

= \frac{3}{4}

= \frac{3}{4}

= \frac{3}{4}

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

[(- 59 + 8)] + [(- 8) + 5]

2 (4 - 5)^{2} + 3

2 \times (3^{3} - 5 + 8)

(- 4) (+ 3) + (- 2) (+ 5) - (+ 6) (- 5)