Multiply 5 1/3*1 5/6. Simplify the answer and write as a mixed number.

A) 176/18
B) 9 7/9
C) 5 5/18
D) 9 14/18

1 answer

To multiply the fractions 5 1/3 and 1 5/6, you should first convert both mixed numbers to improper fractions.

5 1/3 is equal to (5 * 3 + 1) / 3 = (15 + 1) / 3 = 16/3
1 5/6 is equal to (1 * 6 + 5) / 6 = (6 + 5) / 6 = 11/6

Now you can multiply the two fractions:

(16/3) * (11/6) = (16 * 11) / (3 * 6) = 176/18

The answer can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 in this case.

176/2 = 88
18/2 = 9

Therefore, the simplified answer is 88/9.

To write the answer as a mixed number, you divide the numerator (88) by the denominator (9) and write the quotient as the whole number part of the mixed number, and the remainder as the fractional part.

88 รท 9 = 9, remainder 7

So, the final answer is 9 7/9.

Therefore, the correct answer is B) 9 7/9.