Chapter 22: Fractions - Operations and Problem Solving > EASY QUESTIONS (Questions 1-7)EASY QUESTIONS (Questions 1-7)Previous Question 1 of 71 / 7NextReveal all steps Step 1: Find the highest common factor (HCF) of 18 and 24. Factors of 18: 1, 2, 3, 6, 9, 18 Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 HCF = 6 Step 2: Divide both numerator and denominator by the HCF. 18 ÷ 6 = 3 24 ÷ 6 = 4 Therefore, 18/24 = 3/4 in lowest terms. Step 1: Multiply the whole number by the denominator. 3 × 5 = 15 Step 2: Add the numerator. 15 + 2 = 17 Step 3: Write over the original denominator. 3 2/5 = 17/5 Check: 17 ÷ 5 = 3 remainder 2 = 3 2/5 ✓ Therefore, 3 2/5 = 17/5. Step 1: Divide the numerator by the denominator. 23 ÷ 4 = 5 remainder 3 Step 2: Write as a mixed number. Whole number part = 5 Fraction part = 3/4 Therefore, 23/4 = 5 3/4. When adding fractions with the same denominator: Add the numerators and keep the denominator the same. 2/7 + 3/7 = (2 + 3)/7 = 5/7 Therefore, 2/7 + 3/7 = 5/7. When subtracting fractions with the same denominator: Subtract the numerators and keep the denominator the same. 7/9 - 4/9 = (7 - 4)/9 = 3/9 Simplify: 3/9 = 1/3 (dividing both by 3) Therefore, 7/9 - 4/9 = 1/3. Step 1: Find what to multiply the denominator by. 5 × ? = 20 5 × 4 = 20 Step 2: Multiply both numerator and denominator by the same number. 3/5 = (3 × 4)/(5 × 4) = 12/20 Therefore, 3/5 = 12/20. Method: Convert to equivalent fractions with the same denominator. Step 1: Find the LCM of 4 and 6. LCM of 4 and 6 = 12 Step 2: Convert both fractions. 3/4 = (3 × 3)/(4 × 3) = 9/12 5/6 = (5 × 2)/(6 × 2) = 10/12 Step 3: Compare. 9/12 < 10/12 Therefore, 5/6 is larger than 3/4.
