Liam is baking cookies and needs 2 1/4 cups of flour for the first batch and 1 3/4 cups for the second batch. How many cups of flour does Liam need in total?Answer: ______________
2 3/4 + 1 5/8 = ?Answer: ______________
A farmer harvested 3 1/4 bushels of apples in the morning and 2 3/8 bushels in the afternoon. How many bushels of apples did the farmer harvest in total?Answer: ______________
A rectangular classroom floor is drawn with a length of 12.75 meters and a width of 9.25 meters. What is the total perimeter of the classroom floor?Answer: ______________
3 2/5 + 2 1/5 = ?Answer: ______________
Liam is baking cookies for a school bake sale. He needs 2 1/4 cups of flour for chocolate chip cookies and 1 3/4 cups of flour for oatmeal raisin cookies. How many total cups of flour does Liam need for both types of cookies?Answer: ______________
Liam is baking cookies and needs 2 1/4 cups of flour for the first batch and 1 3/4 cups for the second batch. How many cups of flour does Liam need in total?Answer: 4 Solution: Write the mixed numbers as improper fractions or keep them as mixed numbers to add. 2 1/4 = 2 + 1/4 1 3/4 = 1 + 3/4 Add the whole numbers and the fractions separately.Full step-by-step solution
First, we need to find the total amount of flour by adding the two amounts: 2 1/4 cups and 1 3/4 cups.
Step 1: Write the mixed numbers as improper fractions or keep them as mixed numbers to add.
2 1/4 = 2 + 1/4
1 3/4 = 1 + 3/4
Step 2: Add the whole numbers and the fractions separately.
Whole numbers: 2 + 1 = 3
Fractions: 1/4 + 3/4 = (1 + 3)/4 = 4/4
Step 3: Simplify the fraction.
4/4 = 1
Step 4: Add the whole number result and the simplified fraction result.
3 + 1 = 4
So, Liam needs 4 cups of flour in total.
Answer: 4
2 3/4 + 1 5/8 = ?Answer: 4 3/8 Solution: Convert 2 3/4 to an improper fraction: 2 × 4 + 3 = 11/4 Convert 1 5/8 to an improper fraction: 1 × 8 + 5 = 13/8 Find common denominator for 11/4 and 13/8: 11/4 = 22/8 Add the fractions: 22/8 + 13/8 = 35/8 Convert back to mixed number: 35 ÷ 8 = 4 remainder 3, so 4 3/8 The answer is 4 3/8.Full step-by-step solution
Step 1: Convert 2 3/4 to an improper fraction: 2 × 4 + 3 = 11/4
Step 2: Convert 1 5/8 to an improper fraction: 1 × 8 + 5 = 13/8
Step 3: Find common denominator for 11/4 and 13/8: 11/4 = 22/8
Step 4: Add the fractions: 22/8 + 13/8 = 35/8
Step 5: Convert back to mixed number: 35 ÷ 8 = 4 remainder 3, so 4 3/8
The answer is 4 3/8.
A farmer harvested 3 1/4 bushels of apples in the morning and 2 3/8 bushels in the afternoon. How many bushels of apples did the farmer harvest in total?Answer: 5 5/8 Solution: Write the quantities as mixed numbers. Morning: 3 1/4 bushels Afternoon: 2 3/8 bushels Add the whole numbers first. 3 + 2 = 5 Now add the fractions: 1/4 + 3/8 To add these, we need a common denominator.Full step-by-step solution
Let's add the two amounts step by step.
Step 1: Write the quantities as mixed numbers.
Morning: 3 1/4 bushels
Afternoon: 2 3/8 bushels
Step 2: Add the whole numbers first.
3 + 2 = 5
Step 3: Now add the fractions: 1/4 + 3/8
To add these, we need a common denominator. The least common denominator of 4 and 8 is 8.
Step 4: Convert 1/4 to eighths.
1/4 = (1 × 2)/(4 × 2) = 2/8
Step 5: Now add the fractions with common denominator:
2/8 + 3/8 = (2 + 3)/8 = 5/8
Step 6: Combine the whole number sum and the fraction sum:
5 + 5/8 = 5 5/8
So, the total harvest is 5 5/8 bushels.
Final answer: 5 5/8
A rectangular classroom floor is drawn with a length of 12.75 meters and a width of 9.25 meters. What is the total perimeter of the classroom floor?Answer: 44 Solution: The formula for perimeter of a rectangle is: Perimeter = 2 × length + 2 × width Substitute the given values: Perimeter = 2 × 12.75 + 2 × 9.25 Calculate 2 × 12.75 = 25.5 Calculate 2 × 9.25 = 18.5 Add the results: 25.5 + 18.5 = 44 The total perimeter is 44 meters.Full step-by-step solution
Step 1: The formula for perimeter of a rectangle is: Perimeter = 2 × length + 2 × width
Step 2: Substitute the given values: Perimeter = 2 × 12.75 + 2 × 9.25
Step 3: Calculate 2 × 12.75 = 25.5
Step 4: Calculate 2 × 9.25 = 18.5
Step 5: Add the results: 25.5 + 18.5 = 44
Step 6: The total perimeter is 44 meters.
3 2/5 + 2 1/5 = ?Answer: 5 3/5 Solution: Add the whole numbers: 3 + 2 = 5 Add the fractions: 2/5 + 1/5 = 3/5 Combine the results: 5 + 3/5 = 5 3/5 The answer is 5 3/5.Full step-by-step solution
Step 1: Add the whole numbers: 3 + 2 = 5
Step 2: Add the fractions: 2/5 + 1/5 = 3/5
Step 3: Combine the results: 5 + 3/5 = 5 3/5
The answer is 5 3/5.
Liam is baking cookies for a school bake sale. He needs 2 1/4 cups of flour for chocolate chip cookies and 1 3/4 cups of flour for oatmeal raisin cookies. How many total cups of flour does Liam need for both types of cookies?Answer: 4 Solution: Write down the amounts of flour needed. Chocolate chip cookies: 2 1/4 cups Oatmeal raisin cookies: 1 3/4 cups Add the whole numbers first. 2 + 1 = 3 Add the fractions.Full step-by-step solution
Step 1: Write down the amounts of flour needed.
Chocolate chip cookies: 2 1/4 cups
Oatmeal raisin cookies: 1 3/4 cups
Step 2: Add the whole numbers first.
2 + 1 = 3
Step 3: Add the fractions.
1/4 + 3/4 = 4/4
Step 4: Simplify the fraction.
4/4 = 1
Step 5: Add the whole number total and the simplified fraction total.
3 + 1 = 4
So, Liam needs 4 cups of flour in total.
3 2/7 + 2 4/7 = ?Answer: 5 6/7 Solution: Add the whole numbers: 3 + 2 = 5 Add the fractions: 2/7 + 4/7 = 6/7 Combine the results: 5 + 6/7 = 5 6/7 The answer is 5 6/7.Full step-by-step solution
Step 1: Add the whole numbers: 3 + 2 = 5
Step 2: Add the fractions: 2/7 + 4/7 = 6/7
Step 3: Combine the results: 5 + 6/7 = 5 6/7
The answer is 5 6/7.
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