Clarisa's Siomai prepared 250 pieces of siomai. If 150 pieces were sold, what fraction of the total number of pieces of siomai was left?
Understand the Problem
The question is asking for the fraction of siomai that remains after a certain number has been sold. We start with a total of 250 pieces and need to determine how many are left after selling 150 pieces, then express that amount as a fraction of the total.
Answer
The fraction of the total number of pieces of siomai left is $\frac{2}{5}$.
Answer for screen readers
The fraction of the total number of pieces of siomai left is $\frac{2}{5}$.
Steps to Solve
- Calculate Remaining Siomai First, determine how many pieces of siomai are left after selling 150 pieces from the total of 250 pieces.
$$ \text{Remaining Siomai} = 250 - 150 = 100 $$
- Express as a Fraction Next, express the remaining amount as a fraction of the total amount. The fraction is given by the remaining pieces over the total pieces.
$$ \text{Fraction} = \frac{\text{Remaining Siomai}}{\text{Total Siomai}} = \frac{100}{250} $$
- Simplify the Fraction Now, simplify the fraction if possible by dividing the numerator and the denominator by their greatest common divisor (GCD), which is 50.
$$ \frac{100 \div 50}{250 \div 50} = \frac{2}{5} $$
The fraction of the total number of pieces of siomai left is $\frac{2}{5}$.
More Information
This result indicates that after selling 150 pieces, Clarisa still has 40% of her siomai left, which is a significant portion of her initial stock.
Tips
- Failing to Calculate Remaining Siomai Correctly: Always double-check the arithmetic used to find the remaining items.
- Neglecting to Simplify the Fraction: Make sure to simplify your fraction to its simplest form for clarity.
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