Write About It 12. How do you use estimation when solving problems involving fractions? Use vocabulary from this chapter in your answer.

When solving problems involving fractions, estimation is a valuable strategy that helps simplify calculations and provides a quick way to check the reasonableness of an answer. Here’s how to effectively use estimation with fractions: 1. **Identify the Fractions**: Begin by identifying the fractions involved in the problem. This includes recognizing the numerators and denominators. 2. **Round the Fractions**: To estimate, round the fractions to the nearest whole number or to a simpler fraction that is easier to work with. For example, if you have the fraction \( \frac{3}{8} \), you might round it to \( \frac{1}{2} \) for estimation purposes. 3. **Use Compatible Numbers**: Look for compatible numbers that make calculations easier. For instance, if you are adding \( \frac{2}{3} \) and \( \frac{1}{4} \), you might estimate \( \frac{2}{3} \) as \( 1 \) and \( \frac{1}{4} \) as \( 0 \) to quickly assess that the sum is around \( 1 \). 4. **Perform the Estimation**: Carry out the operations (addition, subtraction, multiplication, or division) using the rounded or compatible numbers. This will give you an estimated result that is easier to compute. 5. **Check Reasonableness**: After obtaining the exact answer, compare it with your estimated result. If the exact answer is close to the estimate, it indicates that your calculations are likely correct. If there is a significant difference, it may warrant a review of the steps taken. 6. **Use Visual Aids**: Sometimes, drawing a number line or using fraction models can help visualize the fractions and their relationships, making estimation more intuitive. By incorporating these steps, estimation becomes a powerful tool in solving problems involving fractions, allowing for quicker calculations and a better understanding of the problem at hand.