Let's solve the expression \( X = 20 - 16 \div 24 \).

Following the order of operations (PEMDAS/BODMAS), division comes before subtraction.

1. First, divide \( 16 \div 24 \):

\[
16 \div 24 = \frac{16}{24} = \frac{2}{3}
\]

2. Now substitute this back into the expression:

\[
X = 20 - \frac{2}{3}
\]

3. To subtract, express \( 20 \) as a fraction:

\[
20 = \frac{60}{3}
\]

4. Now subtract:

\[
X = \frac{60}{3} - \frac{2}{3} = \frac{60 - 2}{3} = \frac{58}{3}
\]

Thus, \( X = \frac{58}{3} \) or approximately \( 19.33 \).

Would you like more details or further clarification?

Here are five related questions to expand on this topic:
1. How do you simplify a fraction like \( \frac{16}{24} \)?
2. What is the full order of operations and why does division come before subtraction?
3. How do you convert between improper fractions and mixed numbers?
4. Can you express \( X = 19.33 \) as a mixed fraction?
5. What happens if parentheses are added around \( 20 - 16 \) in the original expression?

**Tip**: Always apply the order of operations carefully to avoid errors in more complex calculations.

Learn how to solve the expression X = 20 - 16 ÷ 24 using the order of operations. This problem involves fraction simplification and basic subtraction. Follow a detailed step-by-step solution, ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation