Find the product.
2 14/31 × 2 5/6
Answers
A)2 34/55
B) 1 71/456
C) 19/186
D) 6 88/93
To find the product of 2 14/31 and 2 5/6, we need to multiply the whole numbers and the fractions separately, and then add the results.
First, let's multiply the whole numbers together:
2 × 2 = 4
Next, let's multiply the fractions:
1. Convert the mixed numbers to improper fractions:
2 14/31 = (2 × 31 + 14)/31 = 74/31
2 5/6 = (2 × 6 + 5)/6 = 17/6
2. Multiply the fractions:
74/31 × 17/6 = (74 × 17)/(31 × 6) = 1258/186
Finally, add the two products together:
4 + 1258/186 = (744 + 1258)/186 = 2002/186
Now, we need to simplify the resulting fraction.
1. Find the greatest common divisor (GCD) of the numerator and denominator:
GCD(2002, 186) = 2
2. Divide both the numerator and denominator by the GCD:
2002/2 ÷ 186/2 = 1001/93
The simplified fraction is 1001/93, which is equivalent to the mixed number 10 1/93.
Therefore, the correct answer is not listed among the options.