This Quiz focuses on linear equations in one variable, featuring 10 engaging multiple-choice questions designed for 5th-grade students. It includes real-life multi-step word problems involving fractions, emphasizing practical applications of math skills.
Sarah is baking cookies. She needs 3/4 of a cup of sugar for one batch. If she wants to make 2 batches, how much sugar will she need in total?
Explanation
To find the total amount of sugar needed, we can multiply the amount needed for one batch by the number of batches. Step 1: Calculate the sugar for 2 batches: Total sugar = (3/4) × 2 Step 2: Convert 2 to a fraction: Total sugar = (3/4) × (2/1) Step 3: Multiply the numerators and the denominators: Total sugar = (3 × 2) / (4 × 1) = 6/4 Step 4: Simplify 6/4: Total sugar = 3/2 cups Final answer: 3/2 cups or 1 1/2 cups.
John has 5/6 of a pizza left. He decides to share it equally with 2 friends. How much pizza will each person get?
Explanation
To find out how much pizza each person gets, we divide the total pizza by the number of people sharing it. Step 1: Total people sharing including John = 2 friends + 1 John = 3 people. Step 2: Divide the pizza: Each person's share = (5/6) ÷ 3 Step 3: Convert 3 to a fraction: Each person's share = (5/6) ÷ (3/1) Step 4: To divide fractions, multiply by the reciprocal: Each person's share = (5/6) × (1/3) = 5/18 Final answer: 5/18 of a pizza.
A recipe calls for 2/3 of a cup of oil. If Alice wants to make 3/4 of the recipe, how much oil does she need?
Explanation
To find out how much oil Alice needs, we multiply the oil needed by the fraction of the recipe she is making. Step 1: Calculate the amount of oil: Oil needed = (2/3) × (3/4) Step 2: Multiply the numerators: Oil needed = (2 × 3) / (3 × 4) Step 3: Simplify: Oil needed = 6/12 = 1/2 Final answer: 1/2 cup of oil.
Liam has 1/2 of a yard of ribbon. He wants to cut it into pieces that are each 1/8 of a yard long. How many pieces can he cut?
Explanation
To find out how many pieces Liam can cut, we divide the total length of ribbon by the length of each piece. Step 1: Divide the ribbon length: Number of pieces = (1/2) ÷ (1/8) Step 2: Convert to multiplication: Number of pieces = (1/2) × (8/1) Step 3: Multiply: Number of pieces = 8/2 = 4 Final answer: 4 pieces.
Maria is filling containers with juice. She has 3/5 of a gallon of juice and wants to fill containers that each hold 1/10 of a gallon. How many containers can she fill?
Explanation
To find out how many containers Maria can fill, we divide the total amount of juice by the capacity of each container. Step 1: Divide the juice: Number of containers = (3/5) ÷ (1/10) Step 2: Convert to multiplication: Number of containers = (3/5) × (10/1) Step 3: Multiply: Number of containers = 30/5 = 6 Final answer: 6 containers.
A gardener has 3/4 of a bag of soil. He uses 1/3 of it for a flower bed. How much soil does he have left?
Explanation
To find out how much soil is left, we first calculate how much soil was used and then subtract it from the total. Step 1: Calculate the soil used: Soil used = (3/4) × (1/3) = 3/12 = 1/4 Step 2: Subtract the used soil from the total: Soil left = (3/4) - (1/4) = (3-1)/4 = 2/4 = 1/2 Final answer: 1/2 of a bag of soil.
Emily has 2/3 of a yard of fabric. She needs to cut a piece that is 1/6 of a yard long. How much fabric will she have left after cutting that piece?
Explanation
To find out how much fabric Emily has left, we subtract the piece she cuts from her total fabric. Step 1: Find the amount cut: Cut fabric = 1/6 Step 2: Convert to a common denominator to subtract: (2/3) = (4/6) Step 3: Subtract: Fabric left = (4/6) - (1/6) = (4-1)/6 = 3/6 = 1/2 Final answer: 1/2 yard of fabric.
A cake recipe requires 5/6 of a cup of flour. If Mia wants to make only 1/2 of the cake, how much flour does she need?
Explanation
To find out how much flour Mia needs, we multiply the amount needed for the full recipe by the fraction she is making. Step 1: Calculate the flour needed: Flour needed = (5/6) × (1/2) Step 2: Multiply the numerators: Flour needed = (5 × 1) / (6 × 2) = 5/12 Final answer: 5/12 cup of flour.
Mark has 7/8 of a gallon of paint. He used 3/8 of a gallon for his project. How much paint does he have left?
Explanation
To find out how much paint Mark has left, we subtract the amount used from the total amount he had. Step 1: Subtract the used paint: Paint left = (7/8) - (3/8) = (7-3)/8 = 4/8 = 1/2 Final answer: 1/2 gallon of paint.
A box can hold 1/2 of a liter of juice. If Lucy has 3/4 of a liter, how many boxes can she fill completely?
Explanation
To find out how many boxes Lucy can fill, we divide the total amount of juice by the capacity of each box. Step 1: Divide the juice: Number of boxes = (3/4) ÷ (1/2) Step 2: Convert to multiplication: Number of boxes = (3/4) × (2/1) Step 3: Multiply: Number of boxes = 6/4 = 1 1/2 Final answer: 1 complete box.
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