1. A recipe calls for ( \frac23 ) cup of sugar. You want to make ( \frac14 ) of the recipe. How much sugar do you need?
2. Emma ran ( \frac34 ) mile. She walked ( \frac12 ) of that distance. How far did she walk?
3. A rectangle has length ( \frac56 ) m and width ( \frac35 ) m. What is its area?
4. There is ( \frac78 ) of a pizza left. If ( \frac23 ) of the leftovers are eaten, what fraction of the whole pizza is eaten?
5. John has ( \frac56 ) hour of free time. He spends ( \frac34 ) of it playing outside. How many hours does he play outside? Eureka Math Lesson 16 Homework 5.4 Answer Key
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Here is the answer key for Eureka Math (Engage NY) Grade 5 Module 4 Lesson 16 Homework.
This lesson focuses on problem solving with decimal operations, specifically using the algorithm to multiply decimals and solving multi-step word problems. Eureka Math Lesson 16 Homework 5.4 Answer Key
If you’ve ever watched a 5th grader stare at a problem like ( \frac23 \times 5 ) and whisper, “Do I multiply the bottom? Do I make a mixed number?”, you are not alone. Welcome to Lesson 16 of Module 5.4 — the lesson where fractions and whole numbers finally dance together.
Question: Lisa has 5/6 gallon of milk. She drinks 1/4 of the milk. Then she gives 1/3 of the remaining milk to her cat. How much milk does she have left?
Step 1: Milk after drinking: 5/6 – (1/4 × 5/6) = 5/6 – 5/24 = 20/24 – 5/24 = 15/24 = 5/8 gallon. Step 2: Milk given to cat: 1/3 × 5/8 = 5/24 gallon. Step 3: Milk left: 5/8 – 5/24 = 15/24 – 5/24 = 10/24 = 5/12 gallon.
Final Answer: 5/12 gallon.
Solve word problems involving fraction multiplication (e.g., finding a fraction of a fraction).
Question: Kevin has 4/5 of a yard of fabric. He uses 3/4 of the fabric to make a pillow. How many yards of fabric did Kevin use?
Answer: 3/5 yard
Explanation: 4/5 × 3/4 = (4×3)/(5×4) = 12/20 = 3/5. Eureka Math Lesson 16 Homework 5.4 Answer Key