Question

simplify: (1.5 + 3/4) ÷ (2.25-1/2)) + 0.6

• A. 1.8857
• B. 2.8857
• C. 3.8857
• D. 4.8857

Answer 1

Answer:

A. 1.8857

Simplify step by step:

$\left(\frac{1.5+\frac{3}{4}}{2.25-\frac{1}{2}}\right)+0.6$

Convert decimals to fractions:

$1.5=\frac{3}{2},\qquad 2.25=\frac{9}{4},\qquad 0.6=\frac{3}{5}$

So,

$\left(\frac{\frac{3}{2}+\frac{3}{4}}{\frac{9}{4}-\frac{1}{2}}\right)+\frac{3}{5}$

Compute the numerator:

$\frac{3}{2}+\frac{3}{4}$
$=\frac{6}{4}+\frac{3}{4}$
$=\frac{9}{4}$

Compute the denominator:

$\frac{9}{4}-\frac{1}{2}$
$=\frac{9}{4}-\frac{2}{4}$
$=\frac{7}{4}$

Now divide:

$\frac{9}{4}\div\frac{7}{4}$
$=\frac{9}{4}\times\frac{4}{7}$
$=\frac{9}{7}$

Add $(\frac{3}{5}):$

$\frac{9}{7}+\frac{3}{5}$
$=\frac{45+21}{35}$
$=\frac{66}{35}$

Final answer:

66/35 = 1.8857