Find the quotient of 1/2 and 1 2/7 .
To find the quotient of 1/2 and 1 2/7, we need to convert 1 2/7 into an improper fraction.
To convert 1 2/7 to an improper fraction, we multiply the whole number (1) by the denominator of the fraction (7) and then add the numerator (2) to get the new numerator.
1 * 7 = 7
7 + 2 = 9
So, 1 2/7 as an improper fraction is 9/7.
Now, we can divide 1/2 by 9/7.
When dividing fractions, we multiply the first fraction (1/2) by the reciprocal of the second fraction (9/7).
Reciprocal of 9/7 = 7/9
So, (1/2) ÷ (9/7) = (1/2) * (7/9)
Multiplying the numerators gives us 1 * 7 = 7.
Multiplying the denominators gives us 2 * 9 = 18.
So, the quotient is 7/18.