What is 4/15-4/5+1/2 ?

The solution to 4/15-4/5+1/2 is -1/30

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simplify 4/15-4/5+1/2

simplify

\frac{4}{15} - \frac{4}{5} + \frac{1}{2}

- \frac{1}{30}

Decimal Notation

- 0.03333 \dots

Solution steps

\frac{4}{15} - \frac{4}{5} + \frac{1}{2}

Least Common Multiplier of

15, 5, 2 : 30

Adjust Fractions based on the LCM

= \frac{8}{30} - \frac{24}{30} + \frac{15}{30}

Apply the fraction rule:

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

= \frac{8 - 24 + 15}{30}

Add the numbers:

8 - 24 + 15 = - 1

= \frac{- 1}{30}

Apply the fraction rule:

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

= - \frac{1}{30}

3 x^{2} - 23 x y + 40 y^{2}

\frac{104 p ^{11}}{18 q ^{4}}

4 x^{2} + 7 x = 10

2 x^{2} + 5 x - 52

5 x + 50 x^{2} + 80