Answer:
14 5/8
Step-by-step explanation
1) Convert the mixed number to an improper fraction
3 3/8 = 3 x 8 + 3 / 8 = 24 + 3/ 8= 27/8
2) Convert the second mixed number to an improper fraction
4 1/3 = 4 x 3 + 1/ 3 = 12 + 1/3= 13/3
3) Multiply 27/8 x 13/3= 351/24 divided by 3 = 117/8 117/8 as a mixed number is 14 5/8
4) 14 5/8 is the final answer simplified
Answer:
[tex]\frac{117}{8}[/tex] (or [tex]14\frac{5}{8}[/tex] in mixed number form)
Step-by-step explanation:
1) First, convert [tex]3\frac{3}{8}[/tex] and [tex]4\frac{1}{3}[/tex] into improper fractions. (Multiply the denominator by the whole number at the front, then add the numerator. The number that you receive from this would be the new numerator, and the denominator would still be the same.) This would be [tex]\frac{27}{8}[/tex] and [tex]\frac{13}{3}[/tex] respectively.
2) Multiply the two improper fractions. Multiply the numbers of the numerators and denominators together:
[tex]\frac{27}{8}[/tex]·[tex]\frac{13}{3}[/tex]
[tex]\frac{351}{24}[/tex]
3) Simplify the fraction. Find a number that both 351 and 24 can divide evenly into - in this case, it is 3. Divide both 351 and 24 by 3 and receive the final answer:
[tex]\frac{351}{24}[/tex]÷[tex]\frac{3}{3}[/tex]
[tex]\frac{117}{8}[/tex]
If you need it in mixed number form, find what times 8 can get closest to the number 117 without going over it. In this case, it is 14, since 14 times 8 is 112, and 112 is the biggest number closest to 117 that is still under it. 14 would be the whole number at the front Include the remainder, or how far away 112 is from 117, which is 5, at the numerator. The denominator would stay the same. Therefore, the answer in mixed number form is [tex]14\frac{5}{8}[/tex].
