CBSE Class 7 Mathematics Fractions and Decimals Assignment Set 02

Question 1. Convert \(\frac{1}{4}\) into decimal form.
Answer: Divide the numerator by the denominator.
\(1 \div 4 = 0.25\)
In simple words: To convert a fraction to a decimal, divide the top number by the bottom number.

Exam Tip: You can also multiply the numerator and denominator by 25 to get \(\frac{25}{100}\), which directly equals 0.25.

Question 2. Convert \(\frac{1}{3}\) into decimal form.
Answer: Divide 1 by 3 using long division.
\(1 \div 3 = 0.333... = 0.\bar{3}\)
In simple words: When the division does not terminate, the decimal repeats indefinitely.

Exam Tip: Use a bar over the repeating digit to represent recurring decimals clearly.

Question 3. Convert \(\frac{3}{3}\) into decimal form.
Answer: Simplify the fraction first.
\(\frac{3}{3} = 1 = 1.0\)
In simple words: Any number divided by itself equals 1.

Exam Tip: Always simplify fractions before performing division to make calculations easier.

Question 4. Convert \(\frac{8}{25}\) into decimal form.
Answer: Multiply the numerator and denominator by 4 to make the denominator a power of 10.
\(\frac{8 \times 4}{25 \times 4} = \frac{32}{100} = 0.32\)
In simple words: Making the denominator 100 makes converting to a decimal very simple.

Question 5. Convert \(\frac{41}{100}\) into decimal form.
Answer: Divide 41 by 100 by moving the decimal point two places to the left.
\(\frac{41}{100} = 0.41\)
In simple words: Dividing by 100 moves the decimal two spots to the left.

Exam Tip: Count the number of zeros in the denominator to know how many places to shift the decimal point.

Question 6. Convert \(\frac{37}{50}\) into decimal form.
Answer: Multiply the numerator and denominator by 2.
\(\frac{37 \times 2}{50 \times 2} = \frac{74}{100} = 0.74\)
In simple words: Double both numbers to change the denominator into 100.

Exam Tip: Look for denominators like 2, 4, 5, 25, and 50 that easily scale up to powers of 10.

Question 7. Convert \(\frac{9}{2000}\) into decimal form.
Answer: Divide 9 by 2000.
\(9 \div 2000 = (9 \div 2) \div 1000 = 4.5 \div 1000 = 0.0045\)
In simple words: Break down the division into smaller steps to avoid calculation mistakes.

Exam Tip: Divide by 2 first, then shift the decimal point three places left for division by 1000.

Question 8. Convert \(\frac{8}{25}\) into decimal form.
Answer: Multiply the numerator and denominator by 4.
\(\frac{8 \times 4}{25 \times 4} = \frac{32}{100} = 0.32\)
In simple words: Scale the fraction so the bottom number becomes 100.

Exam Tip: This is a repeated question reinforcing the conversion technique for denominators of 25.

Question 9. Convert \(\frac{909}{1000}\) into decimal form.
Answer: Shift the decimal point three places to the left.
\(\frac{909}{1000} = 0.909\)
In simple words: Three zeros in 1000 mean three decimal places in the answer.

Exam Tip: Directly place the decimal point before the numerator when dividing by powers of 10.

Question 10. Convert \(\frac{1}{4}\) into decimal form.
Answer: Multiply numerator and denominator by 25.
\(\frac{1 \times 25}{4 \times 25} = \frac{25}{100} = 0.25\)
In simple words: One-fourth is always equal to 0.25.

Exam Tip: Memorizing common fraction-to-decimal conversions like \(\frac{1}{4} = 0.25\) saves time in exams.