Fraction Cheat Sheet: Converting, Adding, Subtracting, Multiplying and Dividing Fractions, Study notes of Calculus

Download Fraction Cheat Sheet: Converting, Adding, Subtracting, Multiplying and Dividing Fractions and more Study notes Calculus in PDF only on Docsity! The Fraction Cheat Sheet 1. Converting an improper fraction into a mixed number. - Divide the numerator by the denominator. The remainder becomes the new numerator. Ex. 17 5 = 3 2 5 2. Converting a mixed number into an improper fraction. - Use the checkmark method, multiply the denominator by the whole number and add the numerator. Ex. 2 5 6 = 17 6 3. Adding fractions. - Find a common denominator for the two fractions. Make equivalent fractions and add the numerators. Change the answer to the lowest mixed number if the question requires. Ex. 4 5 + 2 3 = 12 15 + 10 15 = 22 15 = 1 7 15 4. Subtracting Fractions. - Find a common denominator for the two fractions. Make equivalent fractions and subtract the numerators. Change the answer to the lowest mixed number if the question requires. - If using mixed numbers, borrow from the whole number if you cannot subtract the numerators. Ex. 2 1 3 − 1 3 4 = 2 4 12 − 1 9 12 = 1 16 12 − 1 9 12 = 7 12 5. Multiplying Fractions. - Reduce the numbers diagonally and then multiply the numerators and denominators separately. Ex. 2 3 × 3 5 = 2 3 × 3 5 = 2×1 1×5 = 2 5 - When multiplying mixed numbers, change to improper fractions first. Ex. 1 1 3 × 2 1 5 = 4 3 × 11 5 = 4×11 3×5 = 44 15 = 2 14 15 6. Dividing Fractions. - Change the division statement by multiplying by the reciprocal. Reduce the numbers diagonally and then multiply the numerators and denominators separately. Ex. 5 6 ÷ 7 8 = 5 6 × 8 7 = 5 6 × 8 7 = 5×4 3×7 = 20 21 - When dividing mixed numbers, change to improper fractions first. Ex. 3 1 2 ÷ 1 2 5 = 7 2 ÷ 7 5 = 7 2 × 5 7 = 7 2 × 5 7 = 1×5 2×1 = 5 2 = 2 1 2 𝑁𝑢𝑚𝑒𝑟𝑎𝑡𝑜𝑟 𝐷𝑒𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑜𝑟 Remember! Reciprocal – a fraction flipped upside down! Ex. 2 3 Reciprocal is 3 2