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How to solve 3 3/5 - 2/3?

Sagot :

spaceandscience

Step-by-step explanation:

3 3/5-2/3

change into improper fraction

18/5-2/3

take LCM of denominator

18*3-2*5/15

54-10/15

44/15
Conversion a mixed number 3 3/
5
to a improper fraction: 3 3/5 = 3 3/
5
= 3 · 5 + 3/
5
= 15 + 3/
5
= 18/
5


To find new numerator:
a) Multiply the whole number 3 by the denominator 5. Whole number 3 equally 3 * 5/
5
= 15/
5

b) Add the answer from previous step 15 to the numerator 3. New numerator is 15 + 3 = 18
c) Write a previous answer (new numerator 18) over the denominator 5.

Three and three fifths is eighteen fifths
Subtract: 18/
5
- 2/
3
= 18 · 3/
5 · 3
- 2 · 5/
3 · 5
= 54/
15
- 10/
15
= 54 - 10/
15
= 44/
15

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(5, 3) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 3 = 15. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - eighteen fifths minus two thirds = forty-four fifteenths.
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