Nick grew 5/16 of an inch this year and 3/8 of an inch last year. How much did he grow in two years?
The family ate 3/4 of a gallon of vanilla ice cream and 1/6 of a gallon of chocolate ice cream. How much was eaten in all?
5/16 + 3/8 = 5/16 + 6/16 = ?
For ice cream, change to same denominator and add.
9/12 + 2/12 =?
To find out how much Nick grew in two years, we need to add up his growth from each year.
In the first year, Nick grew 5/16 of an inch.
In the second year, he grew 3/8 of an inch.
To find the total growth in two years, we add the two fractions:
5/16 + 3/8 = ?
To add these fractions, we need to find a common denominator. In this case, the common denominator is 16 x 8 = 128.
Now, we can rewrite the fractions with the common denominator:
(5/16) x (8/8) = 40/128
(3/8) x (16/16) = 48/128
Now, we can add the two fractions:
40/128 + 48/128 = 88/128
Since 88/128 is already simplified, we can convert it to a mixed number if desired.
To do this, divide the numerator (88) by the denominator (128). The quotient is the whole number part of the mixed number, and the remainder is the numerator of the fraction part.
88 ÷ 128 = 0 remainder 88
So, the mixed number is 0 88/128. However, we can further simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 8.
0 88/128 ÷ 8/8 = 11/16
So, Nick grew 11/16 of an inch in two years.
Similarly, to find out how much ice cream was eaten in total, we add the amounts of vanilla ice cream and chocolate ice cream.
The family ate 3/4 of a gallon of vanilla ice cream and 1/6 of a gallon of chocolate ice cream.
To find the total amount eaten, we add the two fractions:
3/4 + 1/6 = ?
To add these fractions, we need to find a common denominator. In this case, the common denominator is 4 x 6 = 24.
Now, we can rewrite the fractions with the common denominator:
(3/4) x (6/6) = 18/24
(1/6) x (4/4) = 4/24
Now, we can add the two fractions:
18/24 + 4/24 = 22/24
Since 22/24 is already simplified, we can also write it in its simplest form by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
22/24 ÷ 2/2 = 11/12
So, the family ate 11/12 of a gallon of ice cream in total.