Question

find x from the given picture

Answer 1

To find the x, first we have to find the numerator and denominator

(of = ×)

$\frac{ \frac{16}{7} of \frac{105}{10} }{ \frac{25}{10}of \: x } = \frac{3}{2} \\ = \frac{ \frac{16}{7} \times \frac{105}{10} }{x \times \frac{25}{10} } = \frac{3}{2} \\ = \frac{ \frac{16 \times 105}{7 \times 10} }{ \frac{25 \times x}{10} } = \frac{3}{2} \\ = \frac{ \frac{8 \times 2 \times 105}{70} }{ \frac{25 \times x}{10} } = \frac{3}{2} \\ = \frac{ \frac{8 \times 210}{70} }{ \frac{(25 \div 5) \times x}{10 \div 5} } = \frac{3 }{2} \\ = \frac{ \frac{8 \times (210 \div 70)}{(70 \div 70)} }{ \frac{5 \times x}{2} } = \frac{3}{2} \\ = \frac{ \frac{8 \times 3}{1} }{ (\frac{5x}{2}) } = \frac{3}{2} \\ = (we \: will \: do \: cross \: multiplication) \\ = > 8 \times 3 \times 2= \frac{5x}{2} \times 3 \\ = > 48 = \frac{15x}{2} \\ = > 48 \times 2 = 15x \\ = > 96 = 15x \\ = > 96 \div 15 = x \\ = > \frac{96 \div 3}{15 \div 3} = x \\ = > x = \frac{32}{5} =6.4$

Hence the value of x = 32/5 or 6.4

hope it helps.