A student spent 2/9 of the pocket money on beverage and ¼ of its on books .
What fraction remained.
Solved?
1/4 + 2/9 = 9/36 + 8/36 = 17/36
36/36 - 17/36 = 19/36
To find the fraction that remained, we need to calculate the fraction of pocket money that the student spent on beverage and books, and then subtract that fraction from 1.
1 - (2/9 + 1/4)
To add these fractions, we need to find a common denominator:
The least common multiple of 9 and 4 is 36.
So, multiplying 2/9 by 4/4 and multiplying 1/4 by 9/9, we get:
1 - (8/36 + 9/36)
Simplifying the fractions:
1 - (17/36)
To subtract fractions, we need a common denominator:
1 * 36/36 - 17/36
Simplifying the fractions:
36/36 - 17/36
Now, subtracting the numerators:
(36 - 17)/36
= 19/36
Therefore, 19/36 of the pocket money remained.
To solve this problem, we need to determine the fraction of the pocket money that remains after spending on beverages and books.
First, let's add the two fractions together:
2/9 + 1/4
To add these fractions, we need a common denominator. The least common multiple of 9 and 4 is 36, so we will convert the fractions to have a denominator of 36.
For the first fraction, we multiply both the numerator and denominator by 4:
(2/9) * (4/4) = 8/36
For the second fraction, we multiply both the numerator and denominator by 9:
(1/4) * (9/9) = 9/36
Now we can add the fractions:
8/36 + 9/36 = 17/36
Therefore, the fraction of the pocket money that remains is 17/36.