Question

-2/3*3/5+5/2-3/5*1/6​

Answer 1

Answer:

2

Step-by-step explanation:

$- \frac{2}{3} \times \frac{3}{5} + \frac{5}{2} - \frac{3}{5} \times \frac{1}{6} \\ - \frac{2}{5} + \frac{5}{2} - \frac{1}{10} \\ \frac{ - 4 + 25 - 1}{10} \\ \frac{ - 5 + 25}{10} \\ \frac{20}{10} = 2$

Answer 2

★ How to do :-

Here, we are given with five fractions to multiply, add and also to subtract with each other. We are asked to simplify these fractions with their appropriate signs. Here, we use the concept of BODMAS which says that first, we should solve the brackets. Then, we do divide the fractions, next the multiplication of numbers, then comes the addition and finally the subtraction. The name of the rule involves the first letter of every operations on numbers. So, let's solve!!

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➤ Solution :-

${\tt \leadsto \dfrac{(-2)}{3} \times \dfrac{3}{5} + \dfrac{5}{2} - \dfrac{3}{5} \times \dfrac{1}{6}}$

Multiply two fractions each together.

${\tt \leadsto \dfrac{(-2) \times 3}{3 \times 5} + \dfrac{5}{2} - \dfrac{3 \times 1}{5 \times 6}}$

Multiply the numbers on numerator and denominator of both fractions.

${\tt \leadsto \dfrac{(-6)}{15} + \dfrac{5}{2} - \dfrac{3}{30}}$

Add the fractions now.

${\tt \leadsto \dfrac{(-6)}{15} + \dfrac{5}{2}}$

LCM of 15 and 2 is 30.

${\tt \leadsto \dfrac{(-6) \times 2}{15 \times 2} + \dfrac{5 \times 15}{2 \times 15}}$

Multiply the number son numerator and denominator of both fractions.

${\tt \leadsto \dfrac{(-12)}{30} + \dfrac{75}{30}}$

Add the fractions now as they are like fractions.

${\tt \leadsto \dfrac{(-12) + 75}{30} = \dfrac{63}{30}}$

Write the obtained fraction in it's place.

${\tt \leadsto \dfrac{63}{30} - \dfrac{3}{30}}$

Subtract the fractions now.

${\tt \leadsto \dfrac{63 - 3}{30} = \dfrac{60}{30}}$

Write the fraction in lowest form by cancellation method.

${\tt \leadsto \cancel \dfrac{60}{30} = 2}$

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${\red{\underline{\boxed{\bf So, \: the \: answer \: when \: simplified \: is \: 2.}}}}$