one and two-sevenths/one and nine-fourteenths
What do you think?
2 17/23
I get 2 13/14
To compute the value of the expression "one and two-sevenths divided by one and nine-fourteenths," we can follow these steps:
1. Converting mixed fractions to improper fractions:
- "One and two-sevenths" can be written as the improper fraction (9/7).
- "One and nine-fourteenths" can be written as the improper fraction (23/14).
2. Invert and multiply:
Instead of dividing fractions, it is simpler to invert the second fraction and multiply.
- Multiply the first fraction (9/7) by the reciprocal (or inverse) of the second fraction (14/23):
(9/7) * (14/23) = (9 * 14) / (7 * 23) = 126/161
3. Simplify the fraction (if needed):
Check if the fraction can be further reduced:
- Find the greatest common divisor (GCD) of the numerator and the denominator, which is 7.
- Divide both the numerator and denominator by the GCD (7):
126/161 ÷ 7/7 = 18/23
Therefore, the value of "one and two-sevenths divided by one and nine-fourteenths" is 18/23, where 18 is the numerator and 23 is the denominator.