A company has a goal of replacing 

StartFraction 29 Over 30 EndFraction2930 

of its incandescent light bulbs with​ energy-efficient LED bulbs. If the company has already replaced 

StartFraction 19 Over 30 EndFraction1930 

of its light​ bulbs, what fraction of the incandescent bulbs still need to be​ replaced?




To find the fraction of incandescent light bulbs that still need to be replaced, subtract the fraction of bulbs that have already been replaced from the company's goal.

The company’s goal is to replace \(\frac{29}{30}\) of its light bulbs. So far, they have replaced \(\frac{19}{30}\) of the bulbs.

The fraction of bulbs that still need to be replaced is:

\[
\frac{29}{30} - \frac{19}{30}
\]

Since the fractions have the same denominator, you can subtract the numerators directly:

\[
\frac{29 - 19}{30} = \frac{10}{30}
\]

Now, simplify \(\frac{10}{30}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 10:

\[
\frac{10 \div 10}{30 \div 10} = \frac{1}{3}
\]

Thus, the fraction of incandescent bulbs that still need to be replaced is \( \boxed{\frac{1}{3}} \).

Would you like more details or have any questions?

Here are some related questions you might find helpful:
1. How do you add and subtract fractions with different denominators?
2. What does it mean to simplify a fraction?
3. How do you find the greatest common divisor of two numbers?
4. What steps can you take to ensure accuracy when subtracting fractions?
5. How would the problem change if the company had already replaced \(\frac{25}{30}\) of the bulbs?

**Tip:** When dealing with fractions, always look for opportunities to simplify your answer to its lowest terms.

Explore how to solve a fraction problem involving the replacement of incandescent light bulbs with energy-efficient LEDs. Understand the steps to subtract fractions with the same denominator, focusing on the concept of fraction subtraction. Suitable for students in Grades 4-6.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation