Math, asked by muskaaan88, 3 months ago

please urgent please solve​

Attachments:

Answers

Answered by shauryad33
1

Step-by-step explanation:

24/5 ÷ 3/5 of 5 + 4/5 × 3/10 - 1/5

24/5 ÷ 3/5 × 5 + 4/5 × 3/10 - 1/5

Apply BODMAS rule -

24/5 × 5/3 × 5 + 4/5 × 3/10 - 1/5

8 × 5 + 12/50 - 1/5

40 + 12/50 - 1/5

(50×40 + 12)/50 - 1/5

2012/50 - 1/5

40.24 - 0.2 or (2012×5- 50×1)/250

40.04 or (10060 -50)/250

40.04 or 1001/25

I hope ur doubt might be sorted out. : )

Answered by MasterDhruva
5

Question :-

{\tt \leadsto 4 \dfrac{4}{5} \div \dfrac{3}{5} \: \: of \: \: 5 + \dfrac{4}{5} \times \dfrac{3}{10} - \dfrac{1}{5}}

\:

How to do :-

As we know that the BODMAS is the rule used here. It denates 'Brackets', 'Of', 'Division', 'Multiplication', 'Addition', 'Subtraction'. So, first we should do the brackets sums. But it's not given in this statement. Ao, first we should go for division, because of denotes multiplication which comes later. Then, we should multiply the fractions, then addition later on subtraction.

\:

Solution :-

{\tt \leadsto \dfrac{24}{5} \div \dfrac{3}{5} \times \dfrac{5}{1} + \dfrac{4}{5} \times \dfrac{3}{10} - \dfrac{1}{5}}

{\tt \leadsto \dfrac{24}{5} \div \dfrac{3}{5} = \dfrac{24}{5} \times \dfrac{5}{3}}

{\tt \leadsto \dfrac{24 \times 5}{5 \times 3} = \dfrac{120}{15} = \dfrac{8}{1}}

{\tt \leadsto \dfrac{8}{1} \times \dfrac{5}{1} = \dfrac{40}{1}}

{\tt \leadsto \dfrac{40}{1} + \dfrac{4}{5} \times \dfrac{3}{10}}

{\tt \leadsto \dfrac{40}{1} + \cancel \dfrac{12}{50} = \dfrac{40}{1} + \dfrac{6}{25}}

LCM of 1 and 25 is 25.

{\tt \leadsto \dfrac{40 \times 25}{1 \times 25} + \dfrac{6}{25} = \dfrac{1000}{25} + \dfrac{6}{25}}

{\tt \leadsto \dfrac{1000 + 6}{25} - \dfrac{1}{5} = \dfrac{1006}{25} - \dfrac{1}{5}}

LCM of 25 and 5 is 25.

{\tt \leadsto \dfrac{1006}{25} - \dfrac{1 \times 5}{5 \times 5}}

{\tt \leadsto \dfrac{1006}{25} - \dfrac{5}{25} = \dfrac{1001}{25}}

{\tt \leadsto \dfrac{1001}{25} = \boxed{\tt 40 \dfrac{1}{25}}}

\Huge\therefore The final answer of the sum is {\tt 40 \dfrac{1}{25}}.

━━━━━━━━━━━━━━━━━━━━━━

More to know :-

BODMAS refers to

  • B denotes Brackets
  • O denotes 'OF' (Multiplication)
  • D denotes Division
  • M denotes Multiplication
  • A denotes Addition
  • S denotes Subtraction
Similar questions