Question

3/5÷(5/7-3/5)-1/2 of(97/10-11/5)​

Answer 1

★ How to do :-

Here, we are given with some fractions to solve with. We should find a final answer of this statement by simplifying this. So, we use a special concept called as BODMAS for solving this question. The fractions which are given in the brackets should be solved at first. Later, the fraction which are written with 'of' should be simplified next. Then, it goes on the alphabetical order which is given in this rule. So, let's solve!!

$\:$

➤ Solution :-

${\tt \leadsto \dfrac{3}{5} \div \bigg( \dfrac{5}{7} - \dfrac{3}{5} \bigg) - \dfrac{1}{2} \: \: of \: \: \bigg( \dfrac{97}{10} - \dfrac{11}{5} \bigg)}$

First, let's solve the first bracket.

${\tt \leadsto \dfrac{5}{7} - \dfrac{3}{5}}$

LCM of 7 and 5 is 35.

${\tt \leadsto \dfrac{5 \times 5}{7 \times 5} - \dfrac{3 \times 7}{5 \times 7}}$

Multiply the numbers in numerator and denominator of both fractions.

${\tt \leadsto \dfrac{25}{35} - \dfrac{21}{35} = \dfrac{25 - 21}{35}}$

${\tt \leadsto \dfrac{4}{35}}$

$\:$

Now, solve the second bracket.

${\tt \leadsto \dfrac{97}{10} - \dfrac{11}{5}}$

LCM of 10 and 5 is 10.

${\tt \leadsto \dfrac{97 \times 5}{10 \times 5} - \dfrac{11 \times 10}{5 \times 20}}$

Multiply the numbers in numerator and denominator of both fractions.

${\tt \leadsto \dfrac{485}{10} - \dfrac{110}{10} = \dfrac{485 - 110}{10}}$

${\tt \leadsto \cancel \dfrac{375}{10} = \dfrac{75}{2}}$

$\:$

Now, put the values obtained in their places given at first.

${\tt \leadsto \dfrac{3}{5} \div \dfrac{4}{35} - \dfrac{1}{2} \times \dfrac{75}{2}}$

According to the rule, divide the fractions first.

${\tt \leadsto \dfrac{3}{5} \div \dfrac{4}{35}}$

Take reciprocal of second fraction and multiply them.

${\tt \leadsto \dfrac{3}{5} \times \dfrac{35}{4} = \dfrac{3 \times 35}{5 \times 4}}$

${\tt \leadsto \dfrac{105}{20} = \dfrac{21}{4}}$

$\:$

Now, write the obtained answer in it's place given at first.

${\tt \leadsto \dfrac{21}{4} - \dfrac{1}{2} \times \dfrac{75}{2}}$

According to the rule, multiply the fractions now.

${\tt \leadsto \dfrac{1}{2} \times \dfrac{75}{2}}$

Multiply the numerator with numerator and denominator with denominator.

${\tt \leadsto \dfrac{75}{4}}$

$\:$

Now, write the obtained answer in it's place given at first.

${\tt \leadsto \dfrac{21}{4} - \dfrac{75}{4}}$

Subtract the numerators of both fractions to obtain the final answer.

${\tt \leadsto \dfrac{21 - 75}{4} = \pink{\underline{\boxed{\tt \dfrac{(-54)}{4}}}}}$

$\Huge\therefore$ The final answer when simplified is ${\tt \dfrac{(-54)}{4}}$.

Answer 2

Science, any system of knowledge that is concerned with the physical world and its phenomena and that entails unbiased observations and systematic experimentation. In general, a science involves a pursuit of knowledge covering general truths or the operations of fundamental laws