Question

(subtraction) Express in simplest form (a) 3/4 - 5/16 (b) 13/18 - 3/6​

Answer 1

Answer:

(a) 7/16

(b) 2/9

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Answer 2

$\sf{(a) \: \dfrac{3}{4} - \dfrac{5}{16} }$

Take LCM of denominators = 16

Make both denominators equal as 16.

$\sf{ = \dfrac{3 \times 4}{4 \times 4} - \dfrac{5}{16} }$

$\:$

$\sf{ = \dfrac{12}{16} - \dfrac{5}{16} }$

$\:$

$\sf{ = \dfrac{12 - 5}{16} }$

$\:$

$\boxed{\sf{ = \dfrac{7}{16}}}.$

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$\sf{(b) \: \dfrac{13}{18} - \dfrac{3}{6} }$

Take LCM = 18

Make denominator equal as 18

$\sf{ = \dfrac{13}{18} - \dfrac{3 \times 3}{6 \times 3} }$

$\:$

$\sf{ = \dfrac{13}{18} - \dfrac{9}{18} }$

$\:$

$\sf{ = \dfrac{13 - 9}{18} }$

$\:$

${\sf{ = \cancel{\dfrac{4}{18}}}}$

$\:$

$\boxed{\sf = \dfrac{2}{9}}.$