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A mixed number is a number with a fraction and a whole number eg. 13/4.
To multiply fractions you multiply the numerators (top numbers) together and multiply the denominators (bottom numbers) together:
3/4 x 5/8 = 3x5/4x8
= 15/32
To multiply a mixed number by a fraction, convert the mixed number to an improper fraction by multiplying the whole number by the denominator and add the numerator to give the new numerator and put it over the original denominator. Then multiply the fractions as above and finally convert any improper fraction back to a mixed number by dividing the numerator by the denominator to get a quotient and a remainder; the quotient is the whole number and the remainder is the numerator over the original denominator.
eg 13/4 = 1x4+3/4 = 7/4 as an improper fraction.
eg 9/4 → 9 ÷ 4 = 2 r 1 → 9/4 = 21/4 as a mixed number.
13/4 x 5/8 = 7/4 x 5/8
= 7x5/4x8
= 35/32
= 13/32
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How is multiplying mixed numbers different than multiplying fractions?
if you have mixed numbers you make them into improper fractions before you multiply
When multiplying mixed numbers and fractions does changing the order of the factors change the product?
No. The commutative and associative laws are valid for any real numbers.
How to multiply mixed numbers?
First change the mixed numbers into improper fractions by multiplying the denominator and the whole number and add the product to the numerator in the mixed numbers and then multiply the numerators and the denominators and divide the numerator by the denominator of the product.
When multiplying two mixed numbers what do you do first?
First you change them into improper fractions. Then you multiply the numerator and the denamanator straight across. ;)
How do you turn a mixed number into a proper fraction?
Mixed numbers cannot be turned into proper fractions, but they can be made into improper fractions by multiplying the integer (# on the side) by the denominator (bottom), and then adding that number to the numerator (top).
