Questions: 4 1/2 × 3 3/4 =

4 1/2 × 3 3/4 =
Transcript text: \[ 4 \frac{1}{2} \times 3 \frac{3}{4}= \]
failed

Solution

failed
failed

Solution Steps

To solve the multiplication of mixed numbers, we first convert the mixed numbers to improper fractions. Then, we multiply the numerators together and the denominators together. Finally, we simplify the resulting fraction if possible.

Step 1: Convert Mixed Numbers to Improper Fractions

We start by converting the mixed numbers \( 4 \frac{1}{2} \) and \( 3 \frac{3}{4} \) into improper fractions: \[ 4 \frac{1}{2} = \frac{4 \times 2 + 1}{2} = \frac{9}{2} \] \[ 3 \frac{3}{4} = \frac{3 \times 4 + 3}{4} = \frac{15}{4} \]

Step 2: Multiply the Improper Fractions

Next, we multiply the two improper fractions: \[ \frac{9}{2} \times \frac{15}{4} = \frac{9 \times 15}{2 \times 4} = \frac{135}{8} \]

Step 3: Simplify the Result

The fraction \( \frac{135}{8} \) is already in its simplest form.

Final Answer

The result of the multiplication \( 4 \frac{1}{2} \times 3 \frac{3}{4} \) is \[ \boxed{\frac{135}{8}} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Suppose that on January 1 you have a balance of 5500 on a credit card whose APR is 15%, which you want to pay off in 1 year. Assume that you make no additional charges to the card after January 1. a. Calculate your monthly payments. b. When the card is paid off, how much will you have paid since January 1? c. What percentage of your total payment from part (b) is interest? a. The monthly payment is 461.65. (Do not round until the final answer. Then round to the nearest cent as needed.) b. The total paid since January 1 is . (Use the answer from part (a) to find this answer. Round to the nearest cent as needed.) c. The percentage of the total paid that is interest is %. (Use the answer from part (b) to find this answer. Round to one decimal place as needed.)
failedAnswered
An existing corporation that is registered to do business in a state or jurisdiction other than where it was originally incorporated is called?
failedAnswered
What major threat did Germany pose to the Allies? Germany had made a surprise attack on the United States. Germany wanted to build an empire in southern Europe and East Africa. Germany wanted to control the Western Pacific and Asia. Germany was able to fight a two-front war in Western and Eastern Europe.
failedAnswered
Write the equation 2x+3y=9 in slope-intercept form.
failedAnswered
Complete the table. Sale Commission Rate Commission 14,400 432