Fractions and Decimals (NCERT Ch. 2)

• Add, subtract, multiply, and divide fractions (proper, improper, mixed).
• Multiply and divide decimals, including by powers of 10.
• Convert between fractions and decimals.

1. To multiply fractions, multiply numerators together and denominators together, then simplify.
2. To divide by a fraction, multiply by its reciprocal (flip the second fraction).
3. To multiply decimals, multiply as whole numbers, then place the decimal point by counting total decimal places.
4. To divide a decimal by 10, 100, 1000, shift the decimal point left by 1, 2, 3 places respectively.

Compute: 2/3 ÷ 4/5

2/3 ÷ 4/5 = 2/3 x 5/4 = 10/12 = 5/6

• Forgetting to flip (reciprocate) the second fraction when dividing.
• Misplacing the decimal point after multiplying (always count total decimal digits from both numbers).
• Adding/subtracting fractions without a common denominator first.

• Compute 1/2 + 1/3.
• Compute 2.5 x 0.4.

Open the Practice tab for graded questions on Fractions and Decimals (NCERT Ch. 2).