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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
What else can I help you with?
How is multiplying mixed numbers different than multiplying fractions?
if you have mixed numbers you make them into improper fractions before you multiply
How is the multiplying mixed numbers different from multiplying fractions?
Multiplying mixed numbers involves first converting the mixed numbers into improper fractions, while multiplying fractions directly uses the fractions in their given form. After conversion, the process for both is the same: multiply the numerators together and the denominators together. The final step when dealing with mixed numbers includes converting the improper fraction back to a mixed number if needed. This added step distinguishes the two processes.
What statement about multiplying fractions and mixed numbers is not true?
A common misconception is that multiplying fractions always results in a smaller number. While it is true that multiplying two proper fractions (less than one) results in a smaller fraction, multiplying a fraction by a mixed number can yield a larger product if the mixed number is greater than one. Therefore, the statement "Multiplying fractions always results in a smaller number" is not true.
How do you multiply fractions or mixed numbers?
To multiply fractions, simply multiply the numerators (top numbers) together and the denominators (bottom numbers) together. For mixed numbers, first convert them into improper fractions by multiplying the whole number by the denominator and adding the numerator. After converting, follow the same process of multiplying the numerators and denominators, and simplify the resulting fraction if necessary.
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 is multiplying mixed numbers different than multiplying fractions?
if you have mixed numbers you make them into improper fractions before you multiply
How is the multiplying mixed numbers different from multiplying fractions?
Multiplying mixed numbers involves first converting the mixed numbers into improper fractions, while multiplying fractions directly uses the fractions in their given form. After conversion, the process for both is the same: multiply the numerators together and the denominators together. The final step when dealing with mixed numbers includes converting the improper fraction back to a mixed number if needed. This added step distinguishes the two processes.
Is there a trick to multiplying mixed numbers?
you have to turn them into improper fractions before you multiply them.
What statement about multiplying fractions and mixed numbers is not true?
A common misconception is that multiplying fractions always results in a smaller number. While it is true that multiplying two proper fractions (less than one) results in a smaller fraction, multiplying a fraction by a mixed number can yield a larger product if the mixed number is greater than one. Therefore, the statement "Multiplying fractions always results in a smaller number" is not true.
How do you multiply fractions or mixed numbers?
To multiply fractions, simply multiply the numerators (top numbers) together and the denominators (bottom numbers) together. For mixed numbers, first convert them into improper fractions by multiplying the whole number by the denominator and adding the numerator. After converting, follow the same process of multiplying the numerators and denominators, and simplify the resulting fraction if necessary.
How is multiplying rational numbers like multiplying fractions and multiplying decimals?
Fractions and decimals are usually rational numbers. Besides, multiplying rational and irrational numbers is also similar.
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.
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).
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 multipy mixed numbers by mixed numbers?
Change each mixed fraction to an improper fraction. Do this by multiplying the denominator by the whole number next to the fraction and then adding the numerator to the product you get. Once you do this, multiply fractions normally.
Why do you change mixed numbers to improper fractions before multiplying and dividing?
Because common denominators allow adding and subtracting of numerators. Improper fractions also have simplified rules over mixed numbers when performing multiplication and division.
