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Ratio Proportion Smart Math

[Smart Math] Ratio Proportion Problem 55

Here’s and example of a SMART MATH problem for RATIO PROPORTION.

Ratio Proportion

Problem

What is two fifth of one tenth of three eight of nine eleventh?

  1. \frac{27}{2100}
  2. \frac{26}{2200}
  3. 1
  4. \frac{54}{4400}
  5. \frac{11}{2100}

The Usual Method

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\frac{2}{5}\times \frac{1}{10}\times \frac{3}{8}\times \frac{9}{11}=\frac{54}{4400}

(Ans: 4)

Estimated Time to arrive at the answer = 45 seconds.

(Note: The time it takes to do the arithmetical operations can differ based on the individual’s ability to multiply the numbers accurately.)

Using Technique

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\frac{2}{5}\times \frac{1}{10}\times \frac{3}{8}\times \frac{9}{11} = a number whose denominator is a multiple of 110 (10 x 11) and the numerator is a multiple of 27 (9 x 3). With these two conditions you can eliminate all options except ‘4’.

(Ans: 4)

Estimated Time to arrive at the answer = 10 seconds.
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