Question

4. Simplify:

2/3+1/6 - 2/9
12-3/2
75% - 43/+2/12
​

Answer 1

Answer:

67 %

Step-by-step explanation:

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Answer 2

➤ Correct Question :-

Simplify the following :-

• 2/3 + 1/6 - 2/9
• 12 - 3/2
• 3/4 - 4/3 + 2/12

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★ How to do :-

Here, we are given with some of the fractions in which we are asked to add some of them and subtract some of them. We can see that all the three questions that have fractions have different denominators each. Si, we should convert all the fraction such that all of them have same denominators i.e, we should convert the unlike fractions into like fractions. So, the concept of LCM can be used here, in which we take the LCM of denominators and convert them into the value of denominators. So, let's solve!!

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➤ Solution (1) :-

${\tt \leadsto \dfrac{2}{3} + \dfrac{1}{6} - \dfrac{2}{9}}$

LCM of 3, 6 and 9 is 18.

${\tt \leadsto \dfrac{2 \times 6}{3 \times 6} + \dfrac{1 \times 3}{6 \times 3} - \dfrac{2 \times 2}{9 \times 2}}$

Multiply the numerators and denominators of all the three fractions.

${\tt \leadsto \dfrac{12}{18} + \dfrac{3}{18} - \dfrac{4}{18}}$

Write all the numerators in a common denominator.

${\tt \leadsto \dfrac{12 + 3 - 4}{18}}$

First, add the numbers in numerator and simplify it further.

${\tt \leadsto \dfrac{15 - 4}{18} = \pink{\underline{\boxed{\tt \dfrac{11}{18}}}}}$

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➤ Solution (2) :-

${\tt \leadsto 12 - \dfrac{3}{2}}$

Write thw whole number in the fractional form.

${\tt \leadsto \dfrac{12}{1} - \dfrac{3}{2}}$

LCM of 1 and 2 is 2.

${\tt \leadsto \dfrac{12 \times 2}{1 \times 2} - \dfrac{3}{2}}$

Multiply the numerator and denominator of the first fraction.

${\tt \leadsto \dfrac{24}{2} - \dfrac{3}{2}}$

Write the numerators in a common denominator and subtract them.

${\tt \leadsto \dfrac{24 - 3}{2} = \pink{\underline{\boxed{\tt \dfrac{21}{2}}}}}$

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➤ Solution (3) :-

${\tt \leadsto \dfrac{3}{4} - \dfrac{4}{3} + \dfrac{2}{12}}$

LCM of 4, 3 and 12 is 12.

${\tt \leadsto \dfrac{3 \times 3}{4 \times 3} - \dfrac{4 \times 4}{3 \times 4} + \dfrac{2}{12}}$

Multiply the numerators and denominators of first and second fraction.

${\tt \leadsto \dfrac{9}{12} - \dfrac{16}{12} + \dfrac{2}{12}}$

Write all the numerators in one common denominator.

${\tt \leadsto \dfrac{6 - 16 + 2}{3}}$

Add the numbers first and then subtract them.

${\tt \leadsto \dfrac{6 - 18}{3} = \pink{\underline{\boxed{\tt \dfrac{(-12)}{3}}}}}$

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Hence solved !!