(4 1/2 - 2 2/3)÷7/2+5 1/2 of 3 5/6 it is in a mixed from
Answers
Answer:
forty-three sixths.
Step-by-step explanation:
Conversion a mixed number 2 1/
2
to a improper fraction: 2 1/2 = 2 1/
2
= 2 · 2 + 1/
2
= 4 + 1/
2
= 5/
2
To find a new numerator:
a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/
2
= 4/
2
b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5
c) Write a previous answer (new numerator 5) over the denominator 2.
Two and one half is five halfs
Conversion a mixed number 4 2/
3
to a improper fraction: 4 2/3 = 4 2/
3
= 4 · 3 + 2/
3
= 12 + 2/
3
= 14/
3
To find a new numerator:
a) Multiply the whole number 4 by the denominator 3. Whole number 4 equally 4 * 3/
3
= 12/
3
b) Add the answer from previous step 12 to the numerator 2. New numerator is 12 + 2 = 14
c) Write a previous answer (new numerator 14) over the denominator 3.
Four and two thirds is fourteen thirds
Add: 5/
2
+ 14/
3
= 5 · 3/
2 · 3
+ 14 · 2/
3 · 2
= 15/
6
+ 28/
6
= 15 + 28/
6
= 43/
6
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 both denominators - LCM(2, 3) = 6. In practice, 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 - five halfs plus fourteen thirds = forty-three sixths.