Evaluate the expression below Simplify your answer

Question

1 2/7 Divided by 1/2

Answer 1

To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction first.

To convert 1 2/7 into an improper fraction, we multiply the whole number (1) by the denominator (7) and add the numerator (2):
1 x 7 = 7
7 + 2 = 9

Therefore, 1 2/7 as an improper fraction is 9/7.

Now we can divide 9/7 by 1/2:
9/7 ÷ 1/2

To divide fractions, we multiply the first fraction by the reciprocal (or inverse) of the second fraction:
9/7 x 2/1

Now we can multiply the numerators and denominators respectively:
(9 x 2) / (7 x 1) = 18/7

Therefore, 1 2/7 divided by 1/2 simplifies to 18/7.