Rational and Irrational Numbers worksheet for converting fractions to decimals.

Sure! Let’s solve the worksheet “Rational and Irrational Numbers — Convert the rational number into decimal number.”

All the numbers given are rational numbers (since they are fractions of integers), and we need to convert each fraction into its decimal equivalent.

We’ll go step by step for each problem, simplifying where possible, then dividing numerator by denominator to get the decimal.

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1) $\frac{20}{50}$

Simplify: divide numerator and denominator by 10 → $\frac{2}{5}$

Now divide: $2 ÷ 5 = 0.4$

✔ Answer: 0.4

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2) $\frac{18}{24}$

Simplify: divide by 6 → $\frac{3}{4}$

$3 ÷ 4 = 0.75$

✔ Answer: 0.75

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3) $\frac{36}{80}$

Simplify: divide by 4 → $\frac{9}{20}$

$9 ÷ 20 = 0.45$

✔ Answer: 0.45

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4) $\frac{22}{40}$

Simplify: divide by 2 → $\frac{11}{20}$

$11 ÷ 20 = 0.55$

✔ Answer: 0.55

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5) $\frac{70}{160}$

Simplify: divide by 10 → $\frac{7}{16}$

$7 ÷ 16 = 0.4375$

✔ Answer: 0.4375

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6) $\frac{48}{64}$

Simplify: divide by 16 → $\frac{3}{4}$

$3 ÷ 4 = 0.75$

✔ Answer: 0.75

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7) $\frac{25}{50}$

Simplify: divide by 25 → $\frac{1}{2}$

$1 ÷ 2 = 0.5$

✔ Answer: 0.5

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8) $\frac{11}{25}$

Already simplified.

$11 ÷ 25 = 0.44$

✔ Answer: 0.44

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9) $\frac{52}{64}$

Simplify: divide by 4 → $\frac{13}{16}$

$13 ÷ 16 = 0.8125$

✔ Answer: 0.8125

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10) $\frac{48}{80}$

Simplify: divide by 16 → $\frac{3}{5}$

$3 ÷ 5 = 0.6$

✔ Answer: 0.6

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11) $\frac{32}{50}$

Simplify: divide by 2 → $\frac{16}{25}$

$16 ÷ 25 = 0.64$

✔ Answer: 0.64

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12) $\frac{9}{24}$

Simplify: divide by 3 → $\frac{3}{8}$

$3 ÷ 8 = 0.375$

✔ Answer: 0.375

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13) $\frac{55}{80}$

Simplify: divide by 5 → $\frac{11}{16}$

$11 ÷ 16 = 0.6875$

✔ Answer: 0.6875

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14) $\frac{12}{64}$

Simplify: divide by 4 → $\frac{3}{16}$

$3 ÷ 16 = 0.1875$

✔ Answer: 0.1875

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15) $\frac{98}{160}$

Simplify: divide by 2 → $\frac{49}{80}$

$49 ÷ 80 = 0.6125$

✔ Answer: 0.6125

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16) $\frac{12}{50}$

Simplify: divide by 2 → $\frac{6}{25}$

$6 ÷ 25 = 0.24$

✔ Answer: 0.24

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## ✔ Final Answers:

1) 0.4
2) 0.75
3) 0.45
4) 0.55
5) 0.4375
6) 0.75
7) 0.5
8) 0.44
9) 0.8125
10) 0.6
11) 0.64
12) 0.375
13) 0.6875
14) 0.1875
15) 0.6125
16) 0.24

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📌 Note: All these decimals are terminating decimals, which is expected since all denominators (after simplifying) have prime factors only of 2 and/or 5 — a property of rational numbers that convert to terminating decimals.

Let me know if you’d like to see any long division steps or visual breakdowns!