Find the value of x :
15/2-[9/2 ÷{5/4-x(3/2-1/3-1/6)}]=3
Answers
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Step-by-step explanation:
Value \: of \: \big(\frac{15}{2}\big) [\frac{9}{4}\div{ \frac{5}{4} - \frac{1}{2}\Big(\frac{3}{2} - \frac{1}{3} - \frac{1}{6}\Big)}]Valueof(
2
15
)[
4
9
÷
4
5
−
2
1
(
2
3
−
3
1
−
6
1
)]
= \big(\frac{15}{2}\big) [\frac{9}{4}\div{ \frac{5}{4} - \frac{1}{2}\Big(\frac{9-2-1}{6} \Big)}]=(
2
15
)[
4
9
÷
4
5
−
2
1
(
6
9−2−1
)]
= \big(\frac{15}{2}\big) [\frac{9}{4}\div{ \frac{5}{4} - \frac{1}{2}\Big(\frac{6}{6} \Big)}]=(
2
15
)[
4
9
÷
4
5
−
2
1
(
6
6
)]
= \big(\frac{15}{2}\big) [\frac{9}{4}\div{ \frac{5}{4} - \frac{1}{2}}]=(
2
15
)[
4
9
÷
4
5
−
2
1
]
= \big(\frac{15}{2}\big) [\frac{9}{4}\div \frac{5-2}{4} ]=(
2
15
)[
4
9
÷
4
5−2
]
= \big(\frac{15}{2}\big) [\frac{9}{4}\div \frac{3}{4} ]=(
2
15
)[
4
9
÷
4
3
]
= \big(\frac{15}{2}\big) [\frac{9}{4}\times \frac{4}{3} ]=(
2
15
)[
4
9
×
3
4
]
= \frac{15}{2} \times 3=
2
15
×3
= \frac{45}{2}=
2
45
Therefore.,
Value \: of \: \big(\frac{15}{2}\big) [\frac{9}{4}\div{ \frac{5}{4} - \frac{1}{2}\Big(\frac{3}{2} - \frac{1}{3} - \frac{1}{6}\Big)}]Valueof(
2
15
)[
4
9
÷
4
5
−
2
1
(
2
3
−
3
1
−
6
1
)]
\green{= \frac{45}{2}}=
2
45
•••♪