Math Problem Statement

convert 2 3/4 into a decimal

Solution

To convert 2342 \frac{3}{4} into a decimal:

  1. First, convert the fraction 3/43/4 into a decimal. 3÷4=0.753 \div 4 = 0.75.
  2. Add the whole number 22 to 0.750.75.

Thus, 234=2.752 \frac{3}{4} = 2.75.

Would you like more details or examples? Here are 5 related questions:

  1. How do you convert improper fractions to decimals?
  2. How can repeating decimals be written as fractions?
  3. What are other examples of mixed numbers converted to decimals?
  4. How do you perform calculations with decimals and fractions together?
  5. How can decimals be rounded to specific places?

Tip: Always ensure your denominator divides evenly when converting fractions to decimals!

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Fractions to Decimals Conversion
Mixed Numbers

Formulas

Decimal conversion: numerator ÷ denominator

Theorems

Basic division properties used in decimal conversion

Suitable Grade Level

Grades 4-6