Question

2/5 × 10/16 - 7/4 × 20/42 + 5/2

Answer 1

Step-by-step explanation:

this is answer of your questions

Answer 2

Question

$\boxed{ \frac{2}{5} \times \frac{10}{16} - \frac{7}{4} \times \frac{20}{42} + \frac{5}{2} }$

$\bf \:Answer$

$\begin{cases} \dfrac{23}{12} \end{cases}$

Step Wise Solution

$({ \frac{ \cancel2}{ \cancel5 } \times \frac{ \cancel{10}}{ \cancel{16}} ) - (\frac{ \cancel7}{ \cancel4} \times \frac{ \cancel{20}}{ \cancel{42}}) + \frac{5}{2} } \\ = \frac{1}{4} - \frac{5}{6} + \frac{5}{2}$

Take LCM of 4 , 6 and 2

$\begin{array}{ c|c }2&4,6,2 \\ 2&2,3,1 \\ 3&1,3,1 \\&1,1,1 \end{array}$

LCM = 3 × 2 × 2 = 12

$\dfrac{3 - 10 + 30}{12} = \dfrac{3 + 20}{12} \\ = \boxed{\dfrac{23}{12} }$

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