Question

6 x 7/8

(six x seven eighth's) This is a review for last year but I forgot how to do it also can you show how you got it please? ​

Answer 1

5 1/4 // 5.25

Explanation:

• convert 6 into a fraction:
• 6/1 x 7/8

• multiply numerators by numerators, and denominators by denominators
• 42/8 (6 x 7 = 42, 8 x 1 = 8)

• Simplify the fraction using the Lowest Common Multiples
• 42/8 --> 21/4

• convert the improper fraction into a mixed number:
• 5 1/4

OR

• 5.25

Answer 2

5 1/4

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:

`6*(7)/(8)= (6*7)/(8)=(42)/(8)\\\\=(40+2)/(8)=(40)/(8)+(2)/(8)=5+(1)/(4)\\\\=\boxed{5(1)/(4)}`

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