What is expand 5a+5/4-3-7 a/6 ?

The solution to expand 5a+5/4-3-7 a/6 is (23a)/6-7/4

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expand 5a+5/4-3-7 a/6

expand

5 a + \frac{5}{4} - 3 - 7 \frac{a}{6}

\frac{23 a}{6} - \frac{7}{4}

Solution steps

5 a + \frac{5}{4} - 3 - 7 \cdot \frac{a}{6}

Multiply

7 \cdot \frac{a}{6} : \frac{7 a}{6}

= 5 a + \frac{5}{4} - 3 - \frac{7 a}{6}

Convert element to fraction:

5 a = \frac{5 a}{1}, 3 = \frac{3}{1}

= \frac{5 a}{1} + \frac{5}{4} - \frac{3}{1} - \frac{a \cdot 7}{6}

Least Common Multiplier of

1, 4, 1, 6 : 12

Adjust Fractions based on the LCM

= \frac{60 a}{12} + \frac{15}{12} - \frac{36}{12} - \frac{14 a}{12}

Since the denominators are equal, combine the fractions:

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

= \frac{60 a + 15 - 36 - 14 a}{12}

60 a + 15 - 36 - 14 a = 46 a - 21

= \frac{46 a - 21}{12}

Apply the fraction rule:

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

\frac{46 a - 21}{12} = \frac{46 a}{12} - \frac{21}{12}

= \frac{46 a}{12} - \frac{21}{12}

Cancel

\frac{46 a}{12} : \frac{23 a}{6}

= \frac{23 a}{6} - \frac{21}{12}

Cancel

\frac{21}{12} : \frac{7}{4}

= \frac{23 a}{6} - \frac{7}{4}

e x p an d \frac{3 ( x + 5 )}{x + 4}

e x p an d \frac{25}{s ( s + 5 )}

e x p an d \frac{- ( X - 10 ) ^{3}}{375000}

e x p an d so l v e (- 1575000 + \frac{x}{1 + ( 0.2139600000000 \dots ) ^{2}} = 0, x)

e x p an d \frac{5 ( 3 - 1 )}{2}

What is expand 5a+5/4-3-7 a/6 ?
The solution to expand 5a+5/4-3-7 a/6 is (23a)/6-7/4