What is 5 4/5 b+6 3/4-(2 11/15+7 7/12) ?

The solution to 5 4/5 b+6 3/4-(2 11/15+7 7/12) is (29b)/5-3 17/30

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simplify 5 4/5 b+6 3/4-(2 11/15+7 7/12)

simplify

5 \frac{4}{5} b + 6 \frac{3}{4} - (2 \frac{11}{15} + 7 \frac{7}{12})

\frac{29 b}{5} - 3 \frac{17}{30}

Solution steps

5 \frac{4}{5} b + 6 \frac{3}{4} - (2 \frac{11}{15} + 7 \frac{7}{12})

Convert mixed numbers to improper fractions:

5 \frac{4}{5} = \frac{29}{5}

= \frac{29}{5} b + 6 \frac{3}{4} - (2 \frac{11}{15} + 7 \frac{7}{12})

Convert mixed numbers to improper fractions:

6 \frac{3}{4} = \frac{27}{4}

= \frac{29}{5} b + \frac{27}{4} - (2 \frac{11}{15} + 7 \frac{7}{12})

Convert mixed numbers to improper fractions:

2 \frac{11}{15} = \frac{41}{15}

= \frac{29}{5} b + \frac{27}{4} - (\frac{41}{15} + 7 \frac{7}{12})

Convert mixed numbers to improper fractions:

7 \frac{7}{12} = \frac{91}{12}

= \frac{29}{5} b + \frac{27}{4} - (\frac{41}{15} + \frac{91}{12})

\frac{29}{5} b = \frac{29 b}{5}

\frac{41}{15} + \frac{91}{12} = \frac{619}{60}

= \frac{29 b}{5} + \frac{27}{4} - \frac{619}{60}

Join

\frac{29 b}{5} + \frac{27}{4} - \frac{619}{60} : \frac{29 b}{5} - \frac{107}{30}

= \frac{29 b}{5} - \frac{107}{30}

Convert improper fractions to mixed numbers:

\frac{107}{30} = 3 \frac{17}{30}

= \frac{29 b}{5} - 3 \frac{17}{30}

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

\frac{1 + \frac{1}{x}}{2 - \frac{1}{x}}

sin (θ) cot (θ)

(1 - cos^{2} (x)) (1 + cot^{2} (x))

(3 x - 7) (2 x + 1)

What is 5 4/5 b+6 3/4-(2 11/15+7 7/12) ?
The solution to 5 4/5 b+6 3/4-(2 11/15+7 7/12) is (29b)/5-3 17/30