A recipe for cupcakes calls for 3/4
of a cup of sugar for the batter and 2/3
of a cup of sugar for the icing. How many cups of sugar are required to make the cake?(1 point)
Responses
5/7
of a cup
1/2
of a cup
1/12
of a cup
17/12
of a cup
To find the total amount of sugar required for the cake, we need to add the amount of sugar for the batter and the icing.
The amount of sugar for the batter is 3/4 of a cup.
The amount of sugar for the icing is 2/3 of a cup.
To add these fractions, we need to have a common denominator. The common denominator of 4 and 3 is 12.
Converting the fractions to have a denominator of 12:
3/4 = 9/12
2/3 = 8/12
Now we can add the fractions together:
9/12 + 8/12 = 17/12
So, 17/12 of a cup of sugar is required to make the cake.
The correct response is:
17/12 of a cup.
To find the total amount of sugar required for the cake, add the amount of sugar for the batter and the icing together.
The amount of sugar for the batter is 3/4 of a cup, and the amount of sugar for the icing is 2/3 of a cup.
To add these fractions, we need a common denominator, which is 12 in this case.
Multiplying the numerator and denominator of 3/4 by 3 gives us 9/12.
Multiplying the numerator and denominator of 2/3 by 4 gives us 8/12.
Now, we can add the fractions together: 9/12 + 8/12 = 17/12.
Therefore, the total amount of sugar required to make the cake is 17/12 of a cup.
To find out how many cups of sugar are required to make the cake, we need to add the amount of sugar for the batter and the amount of sugar for the icing.
The recipe calls for 3/4 of a cup of sugar for the batter and 2/3 of a cup of sugar for the icing.
To add fractions, we need to have a common denominator. In this case, the common denominator would be 12.
To convert 3/4 to twelfths, we multiply the numerator and denominator by 3:
3/4 = (3*3)/(4*3) = 9/12
To convert 2/3 to twelfths, we multiply the numerator and denominator by 4:
2/3 = (2*4)/(3*4) = 8/12
Now we can add the two fractions:
9/12 + 8/12 = 17/12
Therefore, to make the cake, we need 17/12 of a cup of sugar.
So the correct answer is 17/12 of a cup.