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Simplification & Approximation · Question 38 of 71

Question 38

HardOriginal question

Which is the second largest of 1316,1619,1922\frac{13}{16}, \frac{16}{19}, \frac{19}{22} and 2225\frac{22}{25}?

Options for question 38

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Each fraction is 1−3denominator1 - \frac{3}{\text{denominator}}: 1−316,1−319,1−322,1−3251 - \frac{3}{16}, 1 - \frac{3}{19}, 1 - \frac{3}{22}, 1 - \frac{3}{25}.

  2. The bigger the denominator, the smaller the part taken away, so the order is 1316<1619<1922<2225\frac{13}{16} < \frac{16}{19} < \frac{19}{22} < \frac{22}{25}.

  3. The second largest is 1922\frac{19}{22}.

Worth noting

When numerator and denominator differ by the same amount, the fraction with the larger numbers is closer to 1. The trap is picking the largest, 2225\frac{22}{25}, when the question asks for the second largest.

Concept
Comparing fractions of the form n ÷ (n + k)
Typical time
90 s
Your time
—
The rule this testsFractions and decimals
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Ten questions from Simplification & Approximation, at your own pace.

Practise this chapter →

Ten questions from Simplification & Approximation, at your own pace.