What is 2/3 + 1/4? — 11/12.LCD = 12. 2/3 = 8/12, 1/4 = 3/12. Sum: 11/12.
What is 5/6 − 1/3? — 1/2.LCD = 6. 1/3 = 2/6. 5/6 − 2/6 = 3/6 = 1/2.
When you multiply top and bottom by the same number, what happens to the fraction's value? — It stays the same (equivalent fraction).Multiplying numerator and denominator by the same nonzero number is the same as multiplying by 1 — the value stays the same.
What is 3/8 + 1/4? — 5/8.LCD = 8. 1/4 = 2/8. 3/8 + 2/8 = 5/8.
What is 7/10 − 2/5? — 3/10.LCD = 10. 2/5 = 4/10. 7/10 − 4/10 = 3/10.
Alex ate ⅔ of a pizza and Ben ate ¼. How much pizza did they eat altogether? — 11/12.LCD = 12. ⅔ = 8/12, ¼ = 3/12. Together: 11/12.
What is 1/2 + 2/5? — 9/10.LCD = 10. 1/2 = 5/10, 2/5 = 4/10. Sum: 9/10.
What is the LCD of 5 and 8? — 40.Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40. Multiples of 8: 8, 16, 24, 32, 40. LCD = 40.
If you can't find the LCD quickly, what can you use instead? — The product of the two denominators.Using the product of the denominators always works as a common denominator, though you may need to simplify at the end.
What is 1 − 3/8? — 5/8.1 = 8/8. 8/8 − 3/8 = 5/8.
What is 2/3 × 3/2? — 1.2×3=6, 3×2=6. 6/6 = 1. These are reciprocals — they multiply to 1.
What is 5/6 × 3/10? — 1/4.Cancel: 3 and 6 share factor 3 → 5/2 × 1/10. Cancel: 5 and 10 share factor 5 → 1/2 × 1/2 = 1/4.
What is 4/5 × 5/8? — 1/2.Cancel the 5s. 4/1 × 1/8 = 4/8 = 1/2.
Jane has ¾ of a chocolate bar. She gives ⅔ of her share to her friend. What fraction of the whole bar does her friend get? — 1/2.⅔ × ¾ = 6/12 = 1/2. Her friend gets 1/2 of the whole bar.
What is 3/4 × 8? — 6.8 = 8/1. 3/4 × 8/1 = 24/4 = 6.
What is 7/8 × 4/7? — 1/2.Cancel 7s: 1/8 × 4/1. Cancel 4 and 8: 1/2 × 1/1 = 1/2.
Why can you cancel (simplify) diagonally before multiplying fractions? — It finds common factors in different numerators/denominators.Cross-cancelling divides a numerator and a denominator by their GCF before multiplying, keeping numbers smaller.
Is 2/3 × 4/5 equal to 4/5 × 2/3? — Yes, multiplication is commutative.Multiplication is commutative for all numbers including fractions: 2/3 × 4/5 = 4/5 × 2/3 = 8/15.
What is 5/6 × 6/5? — 1.5/6 and 6/5 are reciprocals. Their product is always 1: 5×6 / 6×5 = 30/30 = 1.
You have 3 cups of flour. Each muffin batch needs ¼ cup. How many batches can you make? — 12.3 ÷ ¼ = 3 × 4 = 12 batches.
What is ½ ÷ 6? — 1/12.½ ÷ 6 = ½ × 1/6 = 1/12.
What is 8 ÷ ¼? — 32.8 ÷ ¼ = 8 × 4 = 32.
A piece of rope is 10 meters long. It is cut into pieces of ⅕ meter each. How many pieces? — 50.10 ÷ ⅕ = 10 × 5 = 50 pieces.
What is 1/5 ÷ 5? — 1/25.1/5 ÷ 5 = 1/5 × 1/5 = 1/25.
How many one-thirds are in 7? — 21.7 ÷ ⅓ = 7 × 3 = 21.
What is 1/3 ÷ 1/3? — 1.1/3 ÷ 1/3 = 1/3 × 3/1 = 3/3 = 1. Any number divided by itself = 1.
Which statement is true? — 4 ÷ ½ = 8.4 ÷ ½ = 4 × 2 = 8. (½ ÷ 4 = ½ × ¼ = 1/8, not 2 or 8.)
What is 1/6 ÷ 2? — 1/12.1/6 ÷ 2 = 1/6 × 1/2 = 1/12.
Is 6 ÷ ⅓ greater than, equal to, or less than 6? — Greater than 6 (equals 18).6 ÷ ⅓ = 18, which is greater than 6. Dividing by a fraction < 1 increases the value.