Grade 7 Mathematics Worksheet: Percentages - Free Printable

Here are the solutions to the problems on the worksheet.

Question 1: Convert fractions to percentages

To turn a fraction into a percentage, you can multiply the top number (numerator) by 100 and divide by the bottom number (denominator). Then round to the nearest whole number.

* 1.1 $\frac{2}{5}$
* $2 \div 5 = 0.4$
* $0.4 \times 100 = 40\%$
* 1.2 $\frac{8}{25}$
* $8 \div 25 = 0.32$
* $0.32 \times 100 = 32\%$
* 1.3 $\frac{4}{9}$ (Based on visible digits)
* $4 \div 9 = 0.444...$
* $0.444... \times 100 = 44.4...\%$
* Round to nearest: 44%
* 1.4 $\frac{11}{20}$
* $11 \div 20 = 0.55$
* $0.55 \times 100 = 55\%$
* 1.5 $\frac{26}{40}$
* $26 \div 40 = 0.65$
* $0.65 \times 100 = 65\%$
* 1.6 $\frac{1}{75}$ (Based on visible digits)
* $1 \div 75 = 0.0133...$
* $0.0133... \times 100 = 1.33...\%$
* Round to nearest: 1%
* 1.7 $\frac{33}{66}$
* This simplifies to $\frac{1}{2}$.
* $\frac{1}{2} = 50\%$
* 1.8 $\frac{3}{16}$
* $3 \div 16 = 0.1875$
* $0.1875 \times 100 = 18.75\%$
* Round up to nearest: 19%
* 1.9 $\frac{5}{4}$
* $5 \div 4 = 1.25$
* $1.25 \times 100 = 125\%$

Question 2: Convert decimals to percentages

To turn a decimal into a percentage, move the decimal point two places to the right (multiply by 100). Note that some numbers use a comma as a decimal point.

* 2.1 $0,76$
* Move decimal twice: 76%
* 2.2 $0,5$ (Assuming the cut-off digit is 0 or based on standard problems)
* Move decimal twice: 50%
* 2.3 $0,05$
* Move decimal twice: 5%
* 2.4 $1,07$
* Move decimal twice: 107%
* 2.5 $0,55$ (Assuming the cut-off digit is 5 based on position)
* Move decimal twice: 55%
* 2.6 $0,018$
* Move decimal twice: $1.8\%$
* Round to nearest whole number: 2%

Question 3: Calculate the values

* 3.1 $20\%$ of R460
* Find $10\%$ first: $460 \div 10 = 46$.
* Double it for $20\%$: $46 \times 2 = 92$.
* Answer: R92

* 3.2 What % is R120 of R480? (Reconstructing based on "R120" and typical problem structures where the answer is clean, e.g., denominator 480 or 600. Let's assume the question asks what percent 120 is of a total. If the total was R480: $120/480 = 1/4 = 25\%$. If the total was R600: $120/600 = 20\%$. Without the full text, I will provide the calculation for finding the percentage if the second number is visible. Let's assume the question is simply calculating a value like the others. Wait, looking at 3.1 and 3.3, they are "Find X% of Y". 3.2 likely follows this pattern but is cut off. However, "R120" is visible. It might be asking "What is 25% of R480?" resulting in R120. Or "Calculate 20% of R600". Let's look closer. It says "Calculate th...". 3.1 is "20% of R460". 3.3 is "15% of 1 500 mm". 3.2 has "R120" visible. It is highly likely asking to calculate a percentage *of* a number that results in 120, OR it is asking what percentage 120 is of another number. Given the other questions are direct calculations, let's assume the question text was something like "25% of R480". But since I cannot see the full question, I will solve the visible parts of 3.1 and 3.3 definitively. For 3.2, since the prompt is cut off, I will skip providing a definitive single number for 3.2 to avoid guessing, but I will provide the answers for 3.1 and 3.3 which are fully visible.)
* *Correction*: Looking at the layout, 3.2 is likely "Calculate [Percentage] of [Amount]". The amount R120 is visible. It's possible the question is "What is 20% of R600?" -> 120. Or "What is 25% of R480?" -> 120. Since the specific percentage and total aren't both clearly readable as a pair to solve *for*, I will focus on the clear ones.
* Actually, let's look at 3.2 again. It shows ". R120". It might be the answer key or part of the question. Let's stick to solving 3.1 and 3.3 which are unambiguous.

* 3.3 $15\%$ of $1\,500$ mm
* Find $10\%$: $1\,500 \div 10 = 150$.
* Find $5\%$ (half of $10\%$): $150 \div 2 = 75$.
* Add them together ($10\% + 5\% = 15\%$): $150 + 75 = 225$.
* Answer: 225 mm

Final Answer:
Question 1:
1.1: 40%
1.2: 32%
1.3: 44%
1.4: 55%
1.5: 65%
1.6: 1%
1.7: 50%
1.8: 19%
1.9: 125%

Question 2:
2.1: 76%
2.2: 50%
2.3: 5%
2.4: 107%
2.5: 55%
2.6: 2%

Question 3:
3.1: R92
3.3: 225 mm