2. Simplify : 1/21 [2/3 of 15 +
{ 1_16 ÷ 12_ 14 _ ( 5-9 × 36 - 45 +5-9)}]
Answers
Answer:
Since we have given that
\begin{gathered}\dfrac{1}{21}+(\dfrac{2}{3}\ of\ 15+(\dfrac{7}{6}\div \dfrac{49}{4}-(\dfrac{5}{9}\times \dfrac{36}{45}+\dfrac{5}{9})))\\\\So,\\\\\dfrac{2}{3}\times 15=2\times 5=10\\\\\dfrac{7}{6}\times \dfrac{4}{49}=\dfrac{2}{21}\\\\\dfrac{5}{9}\times \dfrac{36}{45}+\dfrac{5}{9}=\dfrac{4}{9}+\dfrac{5}{9}=\dfrac{4+5}{9}=\dfrac{9}{9}=1\\\\So,\\\\\dfrac{1}{21}+(10+\dfrac{2}{21}-1)\\\\\dfrac{1+2}{21}+9\\\\\dfrac{3}{21}+9\\\\=\dfrac{1}{7}+9\\\\=\dfrac{1+63}{9}\\\\=\dfrac{64}{9}\end{gathered}
21
1
+(
3
2
of 15+(
6
7
÷
4
49
−(
9
5
×
45
36
+
9
5
)))
So,
3
2
×15=2×5=10
6
7
×
49
4
=
21
2
9
5
×
45
36
+
9
5
=
9
4
+
9
5
=
9
4+5
=
9
9
=1
So,
21
1
+(10+
21
2
−1)
21
1+2
+9
21
3
+9
=
7
1
+9
=
9
1+63
=
9
64
Hence, the simplified value is \dfrac{64}{9}
9
64
Answer:
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