Express 5/6 as a percentage, correct to one decimal place.

83.3%. Fraction to percentage: multiply by 100. 5/6 × 100 = 500/6 = 83.333 , which is 83.3% to one decimal place. 0.8% is 5/6 = 0.833 written straight down with a % sign, skipping the ×100. 120% and 1.2% come from turning the fraction upside down and working with 6/5.

Express $\frac{5}{6}$ as a percentage, correct to one decimal place.

Class 7Comparing QuantitiesComparing Quantities

A0.8%
B83.3%
C1.2%
D120%

Step-by-Step Solution

Fraction to percentage: multiply by 100.

\frac{5}{6} \times 100 = \frac{500}{6} = 83.333 \dots

, which is 83.3% to one decimal place. 0.8% is

\frac{5}{6} = 0.833

written straight down with a % sign, skipping the ×100. 120% and 1.2% come from turning the fraction upside down and working with

\frac{6}{5}

Answer: B) 83.3%

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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Express 65​ as a percentage, correct to one decimal place.

Step-by-Step Solution

Key idea: Three forms of the same number

Master this chapter in 30 minutes a day.

More Class 7 Comparing Quantities practice

Express $\frac{5}{6}$ as a percentage, correct to one decimal place.