Micah is making a cinnamon and sugar mixture to sprinkle on toast. His recipe uses 1/8 cup of cinnamon and 1/2 cup of sugar. Find 1/8+1/2 and interpret this sum in the context of the problem.
To find 1/8 + 1/2, we need to find a common denominator. The least common denominator of 8 and 2 is 8. We can convert 1/2 to a fraction with a denominator of 8 by multiplying the numerator and denominator by 4: 1/2 * 4/4 = 4/8.
Now we can add the fractions: 1/8 + 4/8 = 5/8.
In the context of the problem, this sum represents the total amount of the cinnamon and sugar mixture that Micah will use to sprinkle on the toast.
To find 1/8 + 1/2, we need to have a common denominator. The least common multiple of 8 and 2 is 8.
Multiplying the numerator and denominator of 1/8 by 4, we get (1*4)/(8*4) = 4/32.
Multiplying the numerator and denominator of 1/2 by 16, we get (1*16)/(2*16) = 16/32.
Now we can add the fractions: 4/32 + 16/32 = 20/32.
Simplifying the fraction, we get 5/8.
In the context of the problem, 1/8 + 1/2 represents the total amount of cinnamon and sugar mixture Micah needs to make for his toast. It shows that he needs a total of 5/8 cups of the cinnamon and sugar mixture.