What is 1/(-1.5)-1/14 ?

The solution to 1/(-1.5)-1/14 is -0.73809…

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simplify 1/(-1.5)-1/14

simplify

\frac{1}{- 1.5} - \frac{1}{14}

- 0.73809 \dots

Solution steps

\frac{1}{- 1.5} - \frac{1}{14}

Apply the fraction rule:

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

= - \frac{1}{1.5} - \frac{1}{14}

Least Common Multiplier of

1.5, 14 : 21

Adjust Fractions based on the LCM

= - \frac{14}{21} - \frac{\frac{3}{2}}{21}

Since the denominators are equal, combine the fractions:

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

= \frac{- 14 - \frac{3}{2}}{21}

Join

- 14 - \frac{3}{2} : - \frac{31}{2}

= \frac{- \frac{31}{2}}{21}

Apply the fraction rule:

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

= - \frac{\frac{31}{2}}{21}

Apply the fraction rule:

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

\frac{\frac{31}{2}}{21} = \frac{31}{2 \cdot 21}

= - \frac{31}{2 \cdot 21}

Multiply the numbers:

2 \cdot 21 = 42

= - \frac{31}{42}

Convert element to a decimal form

\frac{31}{42} = 0.73809 \dots

= - 0.73809 \dots

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\frac{x}{2} - 5 = 4

\frac{1}{2} x - \frac{3}{4} < \frac{7}{4} x - 12

\frac{6}{7} \cdot \frac{8}{9}

15 x = 35 (\frac{1}{2} - x)