Unit 1 · Topic 07 · Number System & Notation
Ms. Rao wrote 93/100 on the board and asked for the percent.
Kabir said: when the denominator is already 100, you read the numerator and attach percent.
Anaya added: if it is not out of 100 yet, build an equivalent fraction with 100 below.
Ms. Rao started with fractions that already had 100 as the denominator. "93 over 100 is simply 93 percent," she said. "25.5 over 100 is 25.5 percent — no extra steps when the bottom is already 100."
Then she gave 3/5. "There is no 100 below yet," said Anaya. "Multiply numerator and denominator by the same number until the denominator becomes 100." They multiplied by 20: 3×20 = 60 and 5×20 = 100, so 3/5 = 60%.
Kabir tried 5/4 the same way: multiply by 25 to get 125/100, which is 125 percent. As a decimal that is 1.25 — place the decimal in 125 over 100 to read 1.25.
Ms. Rao drew a class of 50 children with 20 girls shaded. "What percent are girls?" Fraction of girls is 20/50. Multiply top and bottom by 2 to get 40/100, so 40 percent are girls. Boys are 30/50 → 60/100, so 60 percent are boys.
Last problem: Jay earns ₹25,000 a month and saves ₹4,000. Fraction saved is 4000/25000. Scale to a percent: 4000/25000 × 100/100 simplifies to 16 percent of his salary each month.
Anaya summed up: percent is a fraction with denominator 100; convert any fraction by scaling to 100, then read the numerator with the percent sign.
A fraction with denominator 100 can be written directly as a percent: 93/100 = 93%, 25.5/100 = 25.5%.
To convert any fraction to percent, find an equivalent fraction with 100 as denominator (e.g. 3/5 × 20/20 = 60/100 = 60%).
Percent can exceed 100 when the fraction is greater than 1 (e.g. 5/4 = 125/100 = 125% = 1.25 as a decimal).
Word problems: write the part-over-whole fraction, scale to denominator 100, then state the percent (class: 20/50 girls → 40%).
Savings example: 4000/25000 of salary saved → scale to percent → 16%.
Write 25.5/100 and 93/100 as percents without extra steps.
Convert 3/5 and 5/4 to percent and decimal for 5/4.
In a class of 50 with 20 girls, find percent girls and percent boys.
Jay saves ₹4,000 from ₹25,000 monthly — what percent does he save?
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