My garden is planted with flowers 5/6 of the flowers are roses 2/3 of the roses are yellow and the rest are red. What fraction of the roses is red??what fraction of the flowers represents red roses? Write and solve a problem
1/3 of the roses are red
(1/3) * (5/6) = 5/18 of the flowers are red roses
1/3
Red roses=(1-2/3)=1/3
Fraction= 1/3 of 5/6
=1/3×5/6
=5/18
To find the fraction of the roses that are red, we first need to determine the fraction of roses in the garden.
We know that 5/6 of the flowers are roses. This means that out of a total of 6 parts, 5 parts represent roses. Mathematically, we can express it as:
Roses = 5/6
To find the fraction of yellow roses, we can multiply the fraction of roses (5/6) by the fraction representing the yellow roses (2/3). This will give us the fraction of yellow roses out of the total number of flowers. Mathematically, we can express it as:
Yellow roses = (5/6) * (2/3) = 10/18
Since the fraction of the roses that are yellow is 10/18, the fraction of the roses that are red can be calculated by subtracting the fraction of yellow roses from the total fraction of roses. Mathematically, we can express it as:
Red roses = Roses - Yellow roses = (5/6) - (10/18)
To simplify this expression, we need to find the least common denominator (LCD) of 6 and 18, which is 18. We can then rewrite the fractions with equivalent denominators:
Red roses = (5/6) - (10/18) = (15/18) - (10/18) = 5/18
Therefore, the fraction of the roses that is red is 5/18.
To find the fraction of the flowers that represents red roses, we need to consider the total fraction of flowers. Since 5/6 of the flowers are roses, the fraction of flowers that represent roses is 5/6. To calculate the fraction of flowers that are red roses, we multiply the fraction of roses by the fraction of red roses:
Flowers representing red roses = (5/6) * (5/18) = 25/108
Therefore, the fraction of the flowers that represents red roses is 25/108.