Question

simplify 80 ÷ 4 - 20 × 2 ÷ 3 of 4 ÷ 4 +30​​

Answer 1

Here, we need to simplify this -

80 ÷ 4 - 20 × 2 ÷ 3 of 4 ÷ 4 +30

__________

To do so, we have to follow BODMAS(Bracket OF Division Multiplication Addition Substraction') rule,

$\implies{\sf{ \dfrac{80}{4} - 20 \times \dfrac{2}{3} of \dfrac{4}{4} + 30}}$

• Put multiplication sign in place of "of".

$\implies{\sf{ \dfrac{80}{4} - 20 \times \dfrac{2}{3} \times \dfrac{4}{4} + 30}}$

• According to the BODMAS rule, we have to do division first.

$\implies{\sf{ \dfrac{ \cancel{80}}{\cancel{4}} - 20 \times \dfrac{2}{3} \times \dfrac{\cancel{4}}{\cancel{4}} + 30}}$

$\implies{\sf{ 20 - 20 \times \dfrac{2}{3} \times 1 + 30}}$

• After dividing, we should do Multiplication.

$\implies{\sf{20 - \dfrac{20 \times 2}{3} \times 1 + 30}}$

$\implies{\sf{20 - \dfrac{40}{3} + 30}}$

$\implies{\sf{20 - \dfrac{40}{3} + 30}}$

• Do addition now.

$\implies{\sf{20 - \dfrac{40+90}{3}}}$

$\implies{\sf{20 - \dfrac{130}{3}}}$

• Do subtraction

$\implies{\sf{ \dfrac{60 - 130}{3}}}$

$\large\implies{\boxed{\sf{\red{ \dfrac{70}{3}}}}}$

Hence, the answer is 70/3.

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Answer 2

$\large \orange{\underline{ \orange{\underline{\bold{\purple{\overbrace{\pink{ \underbrace{ |\:\:\:\: \rm{ \mathfrak{ \red{ \huge{answer}}} \:\:\:\:|} }}}}}}}}}$

$\rm{ \bold{ \green{\underline{ \pink{ \underline{ \red{ \underbrace{ \overbrace{\blue{\mid \:\:\:\:\:\: \dfrac{70}{3} \:\:\:\:\:\: \mid}}}}}}}}}}$

$\rm{ \green{ \underline{ \red{ \overbrace{ \pink{ \mathfrak{ \:\:\:explanation\:in\:details \:\: \downarrow}}}}}}}$

$\large\underline\bold{ \mathcal{ \pink{GIVEN:}}}$

$\dashrightarrow \dfrac{80}{4} - 20 \times \dfrac{2}{ 3} \times \dfrac{4}{4} +30$

$\large\underline\bold{ \underline{ \mathfrak{ \purple{Solving:}}}}$

$\therefore solving \: these \\ \\ \\ : \implies \dfrac{80}{4} - 20 \times \dfrac{2}{ 3} \times \dfrac{4}{4} +30 \\ \\ :\implies \dfrac{\cancel{80}}{ \cancel{4\:}} - 20 \times \dfrac{2}{ 3} \times \cancel\dfrac{4}{4} +30 \\ \\ :\implies 20 - 20\times \dfrac{ 2}{3}\times 1+30 \\ \\ :\implies 20- \dfrac{40}{3} +30 \\ \\ :\implies 10+ \dfrac{ 40}{3} \\ \\ :\implies \dfrac{40+30}{3} \\ \\ :\implies \dfrac{70}{3} \\ \\ \rm{ \pink{\overbrace{ \overline{ \red{ \underbrace{\underline{ \blue{ \mid\:\:\:\:\:\:\:\:\:\:\:\dfrac{70}{3} \:\:\:\:\:\:\:\:\:\:\: \mid}}}}}}}}$

$\rm{ \bold{\red{ \underline{ \pink{ \underline{ \overline{ \purple{ \overline{ \green{ \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}}}}}}}}}$