Paula spent 3/8of her allowance on clothes and 1/6 on entertainment. What fraction of her allowence did she spend on other items?
9/24+4/24=13/24
24/24-13/24=11/24
3/8 = 9/24
1/6 = 4/24
(24/24) - (9/24 + 4/24) = ?
11/24
11/24
11/24
To find the fraction of Paula's allowance spent on other items, we need to subtract the fractions spent on clothes and entertainment from the total allowance fraction.
First, let's represent Paula's allowance as a whole, which can be expressed as 1.
Next, we calculate the fraction of her allowance spent on clothes, which is 3/8. To do this, we divide the numerator (3) by the denominator (8). The result is 3/8.
Similarly, we calculate the fraction of her allowance spent on entertainment, which is 1/6. Dividing the numerator (1) by the denominator (6) gives us 1/6.
Now, we can subtract the fractions spent on clothes and entertainment from 1 to find the fraction spent on other items.
1 - 3/8 - 1/6
To subtract fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 8 and 6 is 24.
Converting the fractions 3/8 and 1/6 to have a denominator of 24 gives us:
(3/8) * (3/3) = 9/24
(1/6) * (4/4) = 4/24
Now, we can subtract these fractions:
1 - 9/24 - 4/24
To subtract fractions, we keep the denominator the same and subtract the numerators:
(24/24) - (9/24) - (4/24) = 11/24
Therefore, Paula spent 11/24 of her allowance on other items.