Question

(5/3 * 7/2) - (11/8 * 4/3 ) is equal to :
(A) 3/8
(B) -3/4
(C) 4
(D) 1/4

Answer 1

Given:

We need to evaluate $(\frac{5}{3})\cdot(\frac{7}{2})- (\frac{11}{8})\cdot(\frac{4}{3})$.

Then,

$(\frac{5}{3})\cdot(\frac{7}{2})-(\frac{11}{8} )\cdot(\frac{4}{3})=\frac{35}{6}-\frac{11}{6}$

                                $=\frac{35-11}{6}$

                                $=\frac{24}{6}$

                                $=4$

Option C is correct.

Answer 2

Given:

(5/3 * 7/2) - (11/8 * 4/3)

To Find:

The value of (5/3 * 7/2) - (11/8 * 4/3)

Solution:

The value of

We must follow the BODMAS rule and complete the brackets.

1. Brackets
2. Order
3. Division
4. Multiplication
5. Addition
6. Subtraction

Now solve:

$= (\frac{5}{3} * \frac{7}{2} ) - (\frac{11}{8} * \frac{4}{3} )$

(multiply numerator by numerator and denominator  by denominator)

$=(\frac{35}{6}) - (\frac{44}{24})$    

(make the denominators equal)

$= (\frac{35}{6} ) - (\frac{11}{6} )$

$=\frac{24}{6}$

$=4$

Hence, $(\frac{5}{3} * \frac{7}{2} ) - (\frac{11}{8} * \frac{4}{3} )$  is 4