Solve the problem. Make sure your answer is in simplest form and improper fractions are expressed as mixed numbers. 3 3/4 x 2 4/5 = ?
Don't know what the hangup is between mixed fractions and "improper" fractions
mixed fractions may be nice to look at, but they are basically useless for arithmetic calculations and must be changed to improper fractions
so, 3 3/4 x 2 4/5
= (15/4)(14/5)
= (3/2)(7/1)
= 21/2
To me that is a perfectly good number and answer.
If you want you can write it as 10.5 or 10 1/2 go ahead.
Good, it worked.
Change those fractions to improper fractions, and then multiply.
To solve the problem, we can multiply the whole numbers and the fractions separately, and then add the two products together. Here's how:
Step 1: Multiply the whole numbers: 3 x 2 = 6
Step 2: Multiply the fractions:
- Multiply the numerators: 3 x 4 = 12
- Multiply the denominators: 4 x 5 = 20
So, the product of the fractions is 12/20.
Step 3: Simplify the fraction:
- Find the greatest common divisor (GCD) of the numerator and denominator: GCD(12, 20) = 4
- Divide both the numerator and denominator by the GCD: 12 ÷ 4 = 3, 20 ÷ 4 = 5
Therefore, 12/20 simplifies to 3/5.
Step 4: Add the whole number (6) and the fraction (3/5):
- Convert the whole number to an improper fraction: 6 = 6/1
- Find a common denominator: 6/1 x 5/5 = 30/5
- Add the fractions: 30/5 + 3/5 = (30 + 3)/5 = 33/5
Step 5: Express the answer as a mixed number:
- Divide the numerator (33) by the denominator (5): 33 ÷ 5 = 6 remainder 3
- The quotient becomes the whole number part, and the remainder becomes the numerator of the fraction: 6 3/5
So, the simplified answer to the problem 3 3/4 x 2 4/5 is 6 3/5.