Yolandera decided to paint 4/5 of the rooms in her home last year. By the end of the year, she completed 2/3 of the rooms. How much of her home was painted last year?
To find out how much of her home was painted last year, we need to add together the two fractions: 4/5 + 2/3 = ____
To add these fractions, we need to find a common denominator. The smallest number divisible evenly by 5 and 3 is 15 and so the equivalent fractions are: 4/5 * 3/3 + 2/3 * 5/5 = (4*3) / (5*3) + (2*5) / (3*5) = 12/15 + 10/15 = (12+10) / 15 = 22 / 15.
So, Yolandera painted 22/15 of her home last year.
can u simplify if plss
Apologies for the error in the previous response.
To simplify the fraction 22/15, we can divide both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 22 and 15 is 1.
So, 22/15 cannot be simplified any further.
well, ur answer choices are 2/9,8/15,6/15,1/3,2/3
Apologies for the confusion. We need to find a common denominator to add the fractions.
The common denominator of 5 and 3 is 15.
Converting 4/5 to have a denominator of 15: (4/5) * (3/3) = 12/15
Converting 2/3 to have a denominator of 15: (2/3) * (5/5) = 10/15
Now, we can add the fractions: 12/15 + 10/15 = 22/15
22/15 cannot be simplified any further. However, none of the answer choices given match 22/15. It appears there might be an error in the answer choices.
3/8 ÷ 2
To divide a fraction by a whole number, you can write the whole number as a fraction with a denominator of 1.
So, 2 as a fraction is 2/1.
To divide 3/8 by 2/1, you need to multiply the dividend (3/8) by the reciprocal of the divisor (2/1).
So, (3/8) ÷ (2/1) = (3/8) * (1/2)
When you multiply fractions, you multiply the numerators together and the denominators together.
(3/8) * (1/2) = (3*1) / (8*2) = 3/16
Therefore, 3/8 ÷ 2 = 3/16.
2 1/3 ÷ 2/5
To divide a mixed number by a fraction, it's helpful to convert the mixed number into an improper fraction first.
2 1/3 can be written as an improper fraction as follows:
2 1/3 = (2 * 3 + 1) / 3 = 7/3
Now, we can divide 7/3 by 2/5:
(7/3) ÷ (2/5)
When dividing fractions, we can multiply the dividend by the reciprocal of the divisor:
(7/3) * (5/2)
Multiplying the numerators and denominators together:
= (7 * 5) / (3 * 2)
= 35/6
Therefore, 2 1/3 ÷ 2/5 is equal to 35/6.