Percentage Worksheet-1 - skoolon.com - Free Printable

Let’s solve each part step by step.

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Q1. Change the fraction to a percentage.

To change a fraction to a percentage, divide the top number (numerator) by the bottom number (denominator), then multiply by 100.

a) 4/6
→ 4 ÷ 6 = 0.666...
→ 0.666... × 100 = 66.666...% → Round to one decimal: 66.7%
*(But sometimes we leave as repeating or simplify first — let’s check if simplifying helps)*
Actually, 4/6 = 2/3 → 2 ÷ 3 = 0.666... → same result. So 66.7% is fine. But in many school worksheets, they expect exact fractions converted exactly. Let’s do it properly:

Better way: Multiply numerator and denominator to get denominator 100? Not always possible. So division is best.

Wait — maybe they want simplified fractional percent? No, usually decimal percent.

But let’s calculate all precisely:

a) 4/6 = 2/3 ≈ 0.6667 → 66.67% (if rounding to two decimals) — but often in such problems, they accept rounded or exact repeating. However, looking at other parts, some are clean.

Actually, let’s do exact calculation for each:

a) 4 ÷ 6 = 0.666... → 66⅔% (exact) — but since others may be decimal, perhaps write as decimal.

Looking at c) 8/16 = 0.5 → 50%, so likely they want decimal percentages.

I’ll compute each with division and round to nearest tenth if needed, but prefer exact where possible.

Actually, standard method: (fraction) × 100%

So:

a) (4/6) × 100 = (2/3) × 100 = 200/3 = 66.666...% → commonly written as 66.7% or 66⅔%. Since this is a worksheet, probably 66.7% is acceptable, but let’s see what fits best.

Wait — perhaps they expect simplified form before converting? Let me recalculate all carefully.

Alternative approach: Convert fraction to equivalent with denominator 100 if possible, else divide.

a) 4/6 → simplify to 2/3 → 2 ÷ 3 = 0.666... → ×100 = 66.666...% → I'll write 66.7% (rounded to one decimal place)

But let's check b) 5/8 → 5 ÷ 8 = 0.625 → 62.5% → clean

c) 8/16 = 0.5 → 50%

d) 3/15 = 1/5 = 0.2 → 20%

e) 4/25 = ? 4 ÷ 25 = 0.16 → 16%

So for a), since 2/3 is repeating, perhaps write as 66.7% or 66.67%. In many curricula, they accept 66.7%.

But let’s confirm: 4/6 = 2/3 ≈ 66.67% if two decimals. I think for consistency, I’ll use one decimal unless it’s whole number.

Actually, looking at Q2, percentages like 35%, 75% — so likely they expect exact values. For 4/6, it’s not exact decimal, so perhaps write as fraction percent? Unlikely.

Standard practice: Use calculator or long division.

I’ll go with:

a) 4/6 = 66.7% (rounded)

But wait — let’s do precise:

(4/6)*100 = 400/6 = 200/3 = 66 2/3 % → so 66⅔% is exact. But in blank, probably write decimal.

Given that, and since other answers are nice, perhaps the worksheet expects:

a) 66.7%
b) 62.5%
c) 50%
d) 20%
e) 16%

Yes, that makes sense.

Now Q2: Change percentage to fraction.

Write percent over 100, then simplify.

a) 35% = 35/100 = 7/20 (divide num and den by 5)

b) 75% = 75/100 = 3/4 (divide by 25)

c) 24% = 24/100 = 6/25 (divide by 4)

d) 32% = 32/100 = 8/25 (divide by 4)

e) 105% = 105/100 = 21/20 (divide by 5) → or 1 1/20, but improper fraction is fine unless specified. Usually keep as improper or mixed? The problem says "fraction", so 21/20 is acceptable, or 1 1/20. But in math worksheets, often improper is ok. Let’s see context — no specification, so I’ll use simplified improper fraction.

Q3: What percent is 24 of 80?

Formula: (part / whole) × 100%

So (24 / 80) × 100

First, 24 ÷ 80 = 0.3

0.3 × 100 = 30%

Or simplify: 24/80 = 3/10 = 0.3 → 30%

Perfect.

Now, let’s list all answers clearly.

Final verification:

Q1:
a) 4/6 = 2/3 ≈ 66.666...% → typically rounded to 66.7% in such contexts. Some might write 66.67%, but I think one decimal is sufficient here. Alternatively, since 4/6 reduces to 2/3, and 2/3 is exactly 66⅔%, but for填空, decimal is expected. I’ll go with 66.7%.

But let me double-check common practice: In many elementary/middle school worksheets, for 4/6, they might expect 66.7% or even 67% if rounding to whole number. But 66.7 is more accurate.

Looking at e) 4/25=16%, exact, so for a), it's repeating, so 66.7% is fine.

Perhaps calculate as:

4 ÷ 6 = 0.6667 → ×100 = 66.67% → so 66.67% if two decimals. But the worksheet doesn't specify. To be safe, I'll use one decimal for non-whole numbers except when it's .5.

b) 5/8=0.625→62.5% — one decimal

c) 50% — whole

d) 20% — whole

e) 16% — whole

So for a), 66.7% is consistent with b)'s precision.

Yes.

Q2:
a) 35/100 = 7/20
b) 75/100 = 3/4
c) 24/100 = 6/25
d) 32/100 = 8/25
e) 105/100 = 21/20 (or 1 1/20, but I think 21/20 is standard for "fraction")

Q3: 30%

All good.

Final Answer:

Q1.
a) 66.7%
b) 62.5%
c) 50%
d) 20%
e) 16%

Q2.
a) 7/20
b) 3/4
c) 6/25
d) 8/25
e) 21/20

Q3.
a) 30%