Chellise saves one fifth of her allowance and spends two thirds of her allowance at the mall. What fraction of her allowance remains?
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To find the fraction of Chellise's allowance that remains, we need to subtract the amount she saves and the amount she spends from her total allowance.
Let's say Chellise's total allowance is represented by the fraction 1 (since we are dealing with fractions).
We know that Chellise saves one-fifth of her allowance, which is equivalent to the fraction 1/5. To find the amount she saves, we can multiply her total allowance (1) by the fraction of her savings (1/5).
1 × 1/5 = 1/5
So, Chellise saves 1/5 of her allowance.
We also know that Chellise spends two-thirds of her allowance, which is equivalent to the fraction 2/3. To find the amount she spends, we can multiply her total allowance (1) by the fraction of her spending (2/3).
1 × 2/3 = 2/3
So, Chellise spends 2/3 of her allowance.
To find the fraction of her allowance that remains, we subtract the amounts Chellise saved and spent from her total allowance:
1 - 1/5 - 2/3 = ?
To subtract fractions, we need to find a common denominator. The common denominator for 5 and 3 is 15.
First, we need to express the fractions with the common denominator:
1 = 15/15
1/5 = 3/15 (multiplying the numerator and denominator by 3)
2/3 = 10/15 (multiplying the numerator and denominator by 5)
Now, we can subtract the fractions:
15/15 - 3/15 - 10/15 = (15 - 3 - 10)/15 = 2/15
Therefore, Chellise has 2/15 of her allowance remaining.