Question

Evaluate
$\frac{3}{4} - \frac{2}{5} + \frac{5}{8}$
​

Answer 1

Answer:

$\frac{3}{4} -\frac{2}{5} +\frac{5}{8} = \frac{3(10)-2(8)+5(5)}{40} \\\frac{3}{4} -\frac{2}{5} +\frac{5}{8} = \frac{30-16+25}{40} \\\frac{3}{4} -\frac{2}{5} +\frac{5}{8} = \frac{39}{40} \\\frac{3}{4} -\frac{2}{5} +\frac{5}{8} = 0.975$

Answer 2

Solution

$\frac{3}{4 } - \frac{2}{5} \: + \frac{5}{8}$

$lcm \: of \: 5 \: and \: 8 = 40$

$\frac{2}{5} \times \frac{8}{8} = \frac{16}{40}$

$\frac{5}{8} \times \frac{5}{5} = \frac{25}{40}$

$add \: both \:$

$\frac{16}{40 } + \frac{25}{40} = \frac{41}{40}$

$no w \: lcm \: of \: 40 \: and \: 4 = 40$

$\frac{3}{4} \times \frac{10}{10} = \frac{30}{40}$

$\frac{41}{40} \times \frac{1}{1} = \frac{41}{40}$

$now \: subtract \: both \:$

$\frac{41 - 30}{40}$

$\frac{11}{40}$

$so \: the \: answer \: is \: \frac{11}{40}$