Kaylin mixed two liquids. One container held 7/8 cup and the other held 8/10 cup. What is the total amount of the mixture? My answer is 1 cup 4/5 of mixture.
sorry the answer is 1 cup 31/40 of mixture
the answer is 1 31\40cups
To find the total amount of the mixture, you need to add the two volumes together. In this case, you have one container with 7/8 cup and another container with 8/10 cup. Notice that both fractions have different denominators, so you need to find a common denominator to add them.
To find a common denominator, you can multiply the denominators of the two fractions together. In this case, the denominators are 8 and 10, so the common denominator is 8 * 10 = 80.
Next, you need to convert both fractions to have the same denominator of 80. To do this, you can multiply the numerator and denominator of the first fraction by 10/10, and multiply the numerator and denominator of the second fraction by 8/8.
For the first fraction:
(7/8) * (10/10) = 70/80
For the second fraction:
(8/10) * (8/8) = 64/80
Now that both fractions have the same denominator, you can add them:
70/80 + 64/80 = (70 + 64)/80 = 134/80
So, the total amount of the mixture is 134/80 cup. However, this fraction can be simplified.
To simplify the fraction, you can divide both the numerator and denominator by their greatest common divisor, which is 2 in this case.
Dividing 134 by 2 gives you 67, and dividing 80 by 2 gives you 40.
Therefore, the simplified fraction is 67/40 cup, or equivalently, 1 cup 27/40 of the mixture.