show how to simplify before you multiply
3 1/2 x 2 2/7
4445456743+38067738476=
change both mixed fractions to "improper" fractions
3 1/2 x 2 2/7
= 7/2 x 16/7
=8 (after you cancel)
15/28 45/84
To simplify the multiplication problem 3 1/2 x 2 2/7, you can follow these steps:
Step 1: Convert the mixed fractions to improper fractions.
- To convert 3 1/2 to an improper fraction, multiply the whole number (3) by the denominator (2) and add the numerator (1). So, 3 1/2 as an improper fraction is (3*2 + 1) / 2 = 7/2.
- Similarly, to convert 2 2/7 to an improper fraction, multiply the whole number (2) by the denominator (7) and add the numerator (2). So, 2 2/7 as an improper fraction is (2*7 + 2) / 7 = 16/7.
Step 2: Multiply the two improper fractions.
- To multiply fractions, multiply the numerators together and multiply the denominators together. So, (7/2) * (16/7) = (7*16) / (2*7) = 112/14.
Step 3: Simplify the resulting fraction.
- To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator and divide both of them by the GCD.
- In this case, the GCD of 112 and 14 is 14. So, dividing both the numerator and the denominator by 14 gives us the simplified fraction: 112/14 = 8.
Therefore, the simplified product of 3 1/2 and 2 2/7 is equal to 8.