Question

Simplify $(2\frac{1}{2}+3.6)\div0.75+(1.25\times\frac{4}{5})$

• A. 137/15
• B. 160/15
• C. 127/15
• D. 148/15

Answer 1

Answer:

A. 137/15

Simplify:

$\left(2\frac{1}{2}+3.6\right)\div0.75+\left(1.25\times\frac{4}{5}\right)$

Convert the mixed number

$2\frac{1}{2}=2.5$

So,

$(2.5+3.6)\div0.75+(1.25\times\frac{4}{5})$

Step 2: Add inside the bracket

$2.5+3.6=6.1$

Divide by 0.75

$6.1\div0.75=6.1\times\frac{4}{3}$
$=\frac{24.4}{3}$
$=\frac{122}{15}$

Multiply

$1.25\times\frac{4}{5}$
$=\frac{5}{4}\times\frac{4}{5}$
$=1$

Add

$\frac{122}{15}+1$
$=\frac{122}{15}+\frac{15}{15}$

$=\frac{137}{15}$