Step-by-step explanation:
3/4 ×1/-24 +5/5
3×1/4×-24+4/5
3×1/4×-24+4/5
3/-96+4/5
-3/96+4/5
-1/32+4/5
ans:123/160
Answer:
The value of [tex]\frac{3}{4}\left(\frac{1}{2} \times-12\right)+\frac{4}{5}[/tex] is -[tex]\frac{37}{10}[/tex] or (-3.7)
Solution:
[tex]\frac{3}{4}\left(\frac{1}{2} \times-12\right)+\frac{4}{5}[/tex]
Simplifying the equation we get,
[tex]\left(\frac{3}{4}\right) \times\left(\frac{1}{2} \times(-12)\right)+\frac{4}{5}[/tex]
[tex]\left(\frac{3}{4}\right) \times\left(\frac{-12}{2}\right)+\left(\frac{4}{5}\right)[/tex]
Dividing -12 and 2,
[tex][(\frac{3}{4})\times(-6)]+ (\frac{4}{5})[/tex]
[tex]\frac{3 \times(-6)}{4}+\left(\frac{4}{5}\right)[/tex]
[tex]\frac{-18}{4}+\left(\frac{4}{5}\right)[/tex]
Bringing [tex]\frac{-18}{4}[/tex] to its simplest form of fraction,
[tex]\left(-\frac{9}{2}\right)+\left(\frac{4}{5}\right)[/tex]
[tex]\left(\frac{4}{5}\right)-\left(\frac{9}{2}\right)[/tex]
Factors of 5 = [tex]5\times1[/tex]
Factors of 2 = [tex]2\times1[/tex]
Therefore, Least Common multiple of 5 and 2 is 10.
[tex]\frac{8-45}{10}[/tex]
[tex]-\frac{37}{10} = (-3.7)[/tex]
