What is 1 3/4+2/3-2 1/2+1 7/12 ?

The solution to 1 3/4+2/3-2 1/2+1 7/12 is 1 1/2

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simplify 1 3/4+2/3-2 1/2+1 7/12

simplify

1 \frac{3}{4} + \frac{2}{3} - 2 \frac{1}{2} + 1 \frac{7}{12}

1 \frac{1}{2}

Decimal Notation

1.5

Solution steps

1 \frac{3}{4} + \frac{2}{3} - 2 \frac{1}{2} + 1 \frac{7}{12}

Convert mixed numbers to improper fractions:

1 \frac{3}{4} = \frac{7}{4}

= \frac{7}{4} + \frac{2}{3} - 2 \frac{1}{2} + 1 \frac{7}{12}

Convert mixed numbers to improper fractions:

2 \frac{1}{2} = \frac{5}{2}

= \frac{7}{4} + \frac{2}{3} - \frac{5}{2} + 1 \frac{7}{12}

Convert mixed numbers to improper fractions:

1 \frac{7}{12} = \frac{19}{12}

= \frac{7}{4} + \frac{2}{3} - \frac{5}{2} + \frac{19}{12}

Least Common Multiplier of

4, 3, 2, 12 : 12

Adjust Fractions based on the LCM

= \frac{21}{12} + \frac{8}{12} - \frac{30}{12} + \frac{19}{12}

Apply the fraction rule:

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

= \frac{21 + 8 - 30 + 19}{12}

Add the numbers:

21 + 8 - 30 + 19 = 18

= \frac{18}{12}

Cancel

\frac{18}{12} : \frac{3}{2}

= \frac{3}{2}

Convert improper fractions to mixed numbers:

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

= 1 \frac{1}{2}

(2 sin (x) cos (x))^{2}

\frac{2 - x}{x + 2 - 2}

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

(x^{2} + 1) (x^{2} + 4)

48 x^{2} \cdot 6 x^{5}

What is 1 3/4+2/3-2 1/2+1 7/12 ?
The solution to 1 3/4+2/3-2 1/2+1 7/12 is 1 1/2