Some would suggest you just "Turn it into a decimal"
PROBLEM ALERT: Great for 1/4 where 1/4 = 0.25, but what about numbers like 1/3 where the decimal goes on forever 1/3 = 0.333333333333333 --> infinity
Why not follow the old school method?
Lets demonstrate with 2 x 3 3/4 x 5 1/3 = ?
First change all number to their fractional form 2=2/1 , 3 3/4 = 15/4 , 5 1/3 = 16/3
The equation is then 2/1 x 15/4 x 16/3 = ?
The top numbers (numerators) multiplied together are (2x15x16) = 480
The bottom numbers (denominators) multiplied together are (1x4x3) =12
Divide numerator answer by the denominator number to get the answer (240)/(12) = 40
The change it to decimals method would give 39.99975 if 1/3 is assumed to be 0.3333
The cleanest and easiest way is to change each one to an
improper fraction, and then multiply those.
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First you have to convert the two numbers into fractions. Example:
13/8 X 3
Change 13/8 to a fraction = so now it's 11/8
Now change the whole number you are multiplying into a fraction = 3/1
Multiply the fractions you just converted = 11/8 X 3/1 = 33/8
You have 33 eights. If you want, now you can convert the 33 eights into 41/8
Convert it to an improper fraction.
It helps if you change the mixed number into an improper fraction. After you do that you can multiply the improper fraction and the whole number. **hint if you put the whole number over 1 it will make it easier to multiply For example: Multiply 3 and 1/2 by 8 1) change 3 and 1/2 to an improper fraction. It would be 7/2 2) put 8 over one in a fraction. It would be 8/1 3) multiply 7/2 by 8/1 - first multiply the numerators 7 x 8= 56 - second multiply the denominators 2 x 1= 2 4) reduce your answer (56/2) It would be 28 And that is how you multiply a mixed number with a whole number
To convert a mixed number to an improper fraction, multiply the denominator by the whole number, add that total to the numerator and put the whole thing over the original denominator.
Multiply the denominator by the whole number, add the numerator, and put the total over the denominator.
You take the whole number and multiply it by the denomonator and and your product to the numerator ,then you keep the same denomonator