a trail mix recipe calls for 1/3 pound of mixed nuts, 4/15 pound of raisins and 2/5 pounds of granola. What is the ratio of raisins to mixed nuts in simplest form?
r:m = 4/15:1/3 = 4/15:5/15 = 4:5
(4/15) / (1/3)
multiply top and bottom by 15
4 / 5
To find the ratio of raisins to mixed nuts, we need to compare the weights of these two ingredients.
The recipe calls for 1/3 pound of mixed nuts and 4/15 pound of raisins.
To simplify the ratio, we need to find a common denominator for both fractions. The least common multiple (LCM) of 3 and 15 is 15.
Converting the fraction 1/3:
1/3 pound = (1/3) * 15/15 = 5/15 pound
The ratio of raisins to mixed nuts is now:
4/15 : 5/15
Since the denominators are the same, we can compare the numerators:
4 : 5
Therefore, the ratio of raisins to mixed nuts in simplest form is 4:5.
To find the ratio of raisins to mixed nuts, we need to determine the weight of raisins and mixed nuts and simplify the ratio.
The recipe calls for 1/3 pound of mixed nuts and 4/15 pound of raisins.
To combine these fractions, we need a common denominator. The least common multiple (LCM) of 3 and 15 is 15.
So, we can rewrite 1/3 as 5/15 and 4/15 stays the same.
Now, adding the fractions: 5/15 pound of mixed nuts and 4/15 pound of raisins.
The ratio is then 4/15 : 5/15.
To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor, which is 1.
After dividing 4 and 5 by 1, the ratio simplifies to:
4/15 : 5/15
So, the ratio of raisins to mixed nuts in simplest form is 4:5.