Answer:
5 1/4
Step-by-step explanation:
You want the product of 6 and 7/8.
Product with a fraction
Your written-out version of the question gives you a clue how to solve it:
six times seven eighths
The associative property of multiplication lets you rearrange this to ...
(six times seven) eighths = forty-two eighths
That is, the product is formed by multiplying the integer by the numerator, and expressing the whole thing over the denominator:
[tex]6\times\dfrac{7}{8}= \dfrac{6\times7}{8}=\dfrac{42}{8}\\\\=\dfrac{40+2}{8}=\dfrac{40}{8}+\dfrac{2}{8}=5+\dfrac{1}{4}\\\\=\boxed{5\dfrac{1}{4}}[/tex]
Improper fraction
The improper fraction is converted to a mixed number by looking at the quotient and remainder from the division: 42/8 = 5 r 2 = 5 2/8 = 5 1/4.
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Alternate solution
Sometimes, it can be helpful to look at the problem another way.
6 × 7/8 = 6 × (1 -1/8) = 6 -6/8
= 6 -3/4 = 5 1/4
