A) 2 5/8 x 3/14
i got 1 31/32
B) 2 1/10 x 3 4/7
i got 8 1/2
are these correct?
2 5/8 = 21/8
21/8 * 3/14 = 7*3*3/8*7*2 = 9/16
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2 1/10 = 21/10
3 4/7 = 25/7
21/10 * 25/7 = 7*3*5*5/5*2*7 = 15/2 = 7 1/2
To verify whether the answers are correct, let's calculate the products step by step.
A) 2 5/8 x 3/14:
First, we need to convert the mixed number to an improper fraction:
2 5/8 = (2 * 8 + 5) / 8 = 21/8
Next, multiply the fractions:
21/8 x 3/14 = (21 * 3) / (8 * 14) = 63/112
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 7:
63/112 = (63 ÷ 7) / (112 ÷ 7) = 9/16
Therefore, the correct answer for A) is 9/16, not 1 31/32.
B) 2 1/10 x 3 4/7:
Again, we convert the mixed numbers to improper fractions:
2 1/10 = (2 * 10 + 1) / 10 = 21/10
3 4/7 = (3 * 7 + 4) / 7 = 25/7
Multiply the fractions:
21/10 x 25/7 = (21 * 25) / (10 * 7) = 525/70
Simplify the fraction by dividing both the numerator and denominator by their GCD, which is 35:
525/70 = (525 ÷ 35) / (70 ÷ 35) = 15/2
As a mixed number, 15/2 can be written as 7 1/2.
Therefore, the correct answer for B) is 7 1/2, not 8 1/2.
In summary, the correct answers are:
A) 9/16
B) 7 1/2