A PERSON HAS WHITE WASHED 2/5 OF A HOUSE. WHAT PERCENTAGE IS LEFT?
Answers
Answer:
60 percentage is left
I hope this helped you
Step-by-step explanation:
You need to find a common denominator between the fractions 2/3 and 1/4. In order to find it, we look for the least common multiple of the numbers 3 and 4 (these being the denominators of the fractions).
Multiples of 3:
3, 6, 9, 12, …
Multiples of 4:
4, 8, 12, …
The first number (multiple) that the 3 and 4 have in common is 12 (this is the LCD — Least Common Multiple). Now, we think the following two questions:
Which number multiplied by 3, has a product of 12? If we multiply 3 by 4, we get 12.
Which number multiplied by 4, ALSO has a product of 12? If we multiply 4 by 3, we get 12.
NOTE: Just because the multiplication of the denominators has a product of 12, it doesn't necessarily means that always multiplying the denominators will give you the least common multiple.
Now, in the first fraction, we multiply the numerator and denominator by 4.
2/3 = (2•4)/(3•4) = 8/12
Now, we do the same on the second fraction, this time multiplying the numerator and denominator by 3.
1/4 = (1•3)/(4•3) = 3/12
If we sum these two fractions, we obtain the total amount given to his wife and son combined.
Because the denominators NOW are the same, we simply sum the numerators.
8/12 + 3/12 = 11/12
Now, to answer the question on how much does his daughter receives, we simply find the difference between 12/12 (which would symbolize the whole property) minus the amount given to his wife and son:
Finally, we perform the operation:
12/12 - 11/12 = 1/12
Therefore, the amount of property the daughter receives is 1/12.
TIP: Harder fractions and problems can also be solved using prime factorization.