Question

Answer the following question
how do we get the answer as
29
__
60
With method and solutions​

Answer 1

Answer:

39/60

Step-by-step explanation:

1/6+1/4=5/12

2/5+2/3=16/15

Now, 16/15 - 5/12 =39/60

Answer 2

Given:

• Subtract the sum of 1/6 and 1/4 from the sum of 2/5 and 2/3

Here:

• We will first find the sum of (1/6+1/4) and then the sum of (2/5+2/3)

• Then, we have to subtract the sum of (1/6 + 1/4) from the sum of (2/5+2/3)

• = (2/5 + 2/3) - (1/6 + 1/4)

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Solution:

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✠ Sum of 1/6 and 1/4 :

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• Taking the LCM of the denominators (i.e 6 and 4)

• LCM of 6 and 4 = 12

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✠ Now,

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• Making the denominator equal -

$\qquad{\sf:\implies{\dfrac{1}{6} \times \dfrac{2}{2} = \dfrac{2}{12}}}$

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$\qquad{\sf:\implies{\dfrac{1}{4} \times \dfrac{3}{3} = \dfrac{3}{12} }}$

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✠ Now,

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• Since we have both the fractions with same denominator, we will now add them!

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$\qquad{\sf:\implies{\dfrac{2}{12} + \dfrac{3}{12}}}$

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$\qquad{\sf:\implies{\dfrac{2 + 3}{12} }}$

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$\qquad:\implies{\underline{\boxed{\frak{\purple{\frac{5}{12}}}}}}$

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✠ Now Adding 2/5 and 2/3 :

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• Making the denominators same by taking LCM.

• LCM of 5 and 3 = 15

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✠ Now,

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• Multiplying the fraction by such a number that the denominators become same.

$\qquad{\sf:\implies{\dfrac{2}{5} \times \dfrac{3}{3} = \dfrac{6}{15} }}$

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$\qquad{\sf:\implies{\dfrac{2}{3} \times \dfrac{5}{5} = \dfrac{10}{15}}}$

✠ Now,

• Since the denominators of the fractions are equal, now we can add them!

$\qquad{\sf:\implies{\dfrac{6}{15} + \dfrac{10}{15} }}$

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$\qquad{\sf:\implies{ \dfrac{6 + 10}{15} }}$

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$\qquad:\implies{\underline{\boxed{\frak{\purple{\frac{16}{15}}}}}}$

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✠ At Last,

• We have to subtract the sum of 1/6 and 1/4 from the sum of 2/5 and 2/3

• i.e, $\qquad{\sf:\implies{\dfrac{16}{15} - \dfrac{5}{12} }}$

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✠ Making the Denominators Equal:

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• LCM of 15 and 12 = 60

$\qquad{\sf:\implies{\dfrac{16}{15} \times \dfrac{4}{4} = \dfrac{64}{60}}}$

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$\qquad{\sf:\implies{\dfrac{5}{12} \times \dfrac{5}{5} = \dfrac{25}{60}}}$

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✠ Since,

• We got the denominators equal, now we can subtract them!

$\qquad{\sf:\implies{\dfrac{64}{60} - \dfrac{25}{60}}}$

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$\qquad{\sf:\implies{\dfrac{64 - 25}{60} }}$

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$\qquad:\implies{\underline{\boxed{\frak{\purple{\frac{39}{60} }}}}}$

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Final Answer:

• Therefore, The number we obtained is $\sf \pmb {\dfrac{39}{60}}$