Answer:
Conversion a mixed number 4 1/
2
to a improper fraction: 4 1/2 = 4 1/
2
= 4 · 2 + 1/
2
= 8 + 1/
2
= 9/
2
To find new numerator:
a) Multiply the whole number 4 by the denominator 2. Whole number 4 equally 4 * 2/
2
= 8/
2
b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9
c) Write a previous answer (new numerator 9) over the denominator 2.
Four and one half is nine halfs
Add: 9/
2
+ 12 = 9/
2
+ 12/
1
= 9/
2
+ 12 · 2/
1 · 2
= 9/
2
+ 24/
2
= 9 + 24/
2
= 33/
2
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 1) = 2. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 1 = 2. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - nine halfs plus twelve = thirty-three halfs.
Add: the result of step No. 2 + 5/
7
= 33/
2
+ 5/
7
= 33 · 7/
2 · 7
+ 5 · 2/
7 · 2
= 231/
14
+ 10/
14
= 231 + 10/
14
= 241/
14
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 7) = 14. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 7 = 14. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - thirty-three half's plus five sevenths = two hundred forty-one fourteenths.
Step-by-step explanation:
