Conversion a mixed number 3 1/2
to a improper fraction: 3 1/2 = 3 1/2= 3 · 2 + 1/2= 6 + 1/2 = 7/2
To find a new numerator:
a) Multiply the whole number 3 by the denominator 2. Whole number 3 equally 3 * 2/2= 6/2
b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 2.
Three and one half is seven halfs
Conversion a mixed number 1 2/3
to a improper fraction: 1 2/3 = 1 2/3= 1 · 3 + 2/3= 3 + 2/3= 5/3
To find a new numerator:
a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/3= 3/3
b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5
c) Write a previous answer (new numerator 5) over the denominator 3.
One and two thirds is five thirds
Subtract: 7/2 - 5/3= 7 · 3/2 · 3- 5 · 2/3 · 2= 21/6 - 10/6= 21 - 10/6= 11/6
It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 3) = 6. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 3 = 6. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - seven halfs minus five thirds is eleven sixths.