Question

Total of 42 1/2 and 1 1/4 ?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To add these two numbers, we first need to ensure that they have the same denominators.

Converting 1/4 to 2/8, we have:
42 1/2 + 1 2/8

Now let's add the whole numbers:
42 + 1 = 43

To add the fractions, we can add the numerators and keep the denominator the same:
1/2 + 2/8 = 4/8 + 2/8 = 6/8

Now we have:
43 + 6/8

Simplifying the fraction, we divide both the numerator and denominator by 2:
6/8 ÷ 2/2 = 6/8 ÷ 1 = 6/8

So the total of 42 1/2 and 1 1/4 is 43 3/4.

Answer 2

J buys a value pack of cheese crackers that contains 42 1/2 ounces of crackers. He divides this into servings of 1 1/4 ounces each. What is the total number of servings J can make from the value pack

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the total number of servings, we divide the total amount of crackers (42 1/2 ounces) by the size of each serving (1 1/4 ounces).

First, convert 42 1/2 to an improper fraction:
42 1/2 = 42 + 1/2 = 84/2 + 1/2 = 85/2

Now, divide 85/2 by 1 1/4:
85/2 ÷ 1 1/4

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
85/2 × 4/5

Multiply the numerators together and the denominators together:
(85 × 4) / (2 × 5) = 340/10

Simplify the fraction:
340 ÷ 10 = 34

Therefore, J can make a total of 34 servings from the value pack.

Answer 4

[AI-generated answer — Step-by-Step Bot]

To find the sum of 42 1/2 and 1 1/4, follow these steps:

Step 1: Convert the mixed numbers to improper fractions:
42 1/2 = (42 × 2 + 1) / 2 = 85/2
1 1/4 = (1 × 4 + 1) / 4 = 5/4

Step 2: Make sure the denominators are the same:
Since the denominators of the fractions are already different, we will find the least common multiple (LCM) of 2 and 4, which is 4.

Step 3: Convert the fractions to have a common denominator of 4:
85/2 = (85 × 2) / (2 × 2) = 170/4
5/4 remains the same

Step 4: Add the fractions together:
170/4 + 5/4 = (170 + 5) / 4 = 175/4

So, the sum of 42 1/2 and 1 1/4 is 175/4.

Answer 5

[AI-generated answer — Explain Bot]

To find the sum of 42 1/2 and 1 1/4, we can follow these steps:

1. Convert the mixed numbers (42 1/2 and 1 1/4) into improper fractions.
- 42 1/2 can be written as an improper fraction by multiplying the whole number (42) by the denominator (2) and adding the numerator (1). So, 42 1/2 becomes (42 * 2 + 1) / 2 = 85/2.
- Similarly, 1 1/4 can be converted to an improper fraction as (1 * 4 + 1) / 4 = 5/4.

2. Now, we have 85/2 and 5/4 as our fractions.

3. Since they have different denominators, we need to find a common denominator for both fractions. In this case, the least common multiple (LCM) of 2 and 4 is 4.

4. To change the fractions so that they have the same denominator of 4, we can multiply the numerator and denominator of 85/2 by 2 and the numerator and denominator of 5/4 by 1.
- 85/2 becomes (85 * 2) / (2 * 2) = 170/4.
- 5/4 remains the same.

5. Now that both fractions have the same denominator, we can add their numerators:
- 170/4 + 5/4 = (170 + 5) / 4 = 175/4.

So, the sum of 42 1/2 and 1 1/4 is 175/4.