Decimals via Fractions

Algebra Level 1

Every decimal number can be expressed in form of a fraction.

6.25 = P + Q 10 + R 100 \large 6.25 = {\color{#3D99F6}P} + \dfrac{\color{#E81990}Q}{10} + \dfrac{\color{#20A900}R}{100} Given, P , Q , R P,Q,R are single-digit positive integers, find the sum, P + Q + R {\color{#3D99F6}P} + {\color{#E81990}Q} + {\color{#20A900}R} .


The answer is 13.

Ram Mohith by Ram Mohith , 18, India

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1 solution

Ram Mohith
Jul 2, 2018

First I will express 6.25 6.25 as :

⟹ 6.25 = 6 + 0.2 + 0.05 \implies 6.25 = 6 + 0.2 + 0.05

⟹ 6.25 = 6 + 2 10 + 5 100 \implies 6.25 = 6 + \dfrac{2}{10} + \dfrac{5}{100}

So, P = 6 , Q = 2 , R = 5 {\color{#3D99F6}P} = 6, {\color{#E81990}Q} = 2, {\color{#20A900}R} = 5

Therefore, P + Q + R = 6 + 2 + 5 = 13 {\color{#3D99F6}P} + {\color{#E81990}Q} + {\color{#20A900}R} = {\color{#3D99F6}6} + {\color{#E81990}2} + {\color{#20A900}5} = 13

1 Helpful 0 Interesting 0 Brilliant 0 Confused

The initial statement is false.

Blan Morrison - 2 years, 8 months ago

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What is wrong in it.

Ram Mohith - 2 years, 8 months ago

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Nevermind; irrational numbers can be expressed as a fraction of other irrational numbers.

Blan Morrison - 2 years, 8 months ago

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