Three of these four values are equal to one another. Which one is the odd one out?

Class 7Comparing QuantitiesComparing Quantities

A $\frac{6}{100}$
B0.6
C60%
D $\frac{3}{5}$

Step-by-Step Solution

Turn everything into a decimal. 0.6 = 0.6; 60% =

\frac{60}{100} = 0.6

;

\frac{3}{5} = \frac{60}{100} = 0.6

. But

\frac{6}{100} = 0.06

, which is 6%, not 60%. The trap is seeing the digit 6 over 100 and reading it as "60 per cent" — the number of hundredths is 6, so one zero changes the value ten-fold.

Answer: A)

\frac{6}{100}

Key idea: Three forms of the same number

Fractions, decimals, and percentages are three notations for the same idea. Convert freely:

- **Fraction → percentage**: multiply by 100.

\frac{3}{5} = \frac{3}{5} \times 100% = 60%

.
- **Percentage → fraction**: divide by 100 and simplify.

75% = \frac{75}{100} = \frac{3}{4}

.
- **Decimal → percentage**: shift two places right. 0.34 = 34%.
- **Percentage → decimal**: shift two places left. 8% = 0.08.

With practice, this becomes automatic and you can move between forms without thinking.

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