Math Problem Statement

Write 21/24 as a decimal

Solution

To write 2124\frac{21}{24} as a decimal, first simplify the fraction:

2124=78\frac{21}{24} = \frac{7}{8}

Now, divide 7÷87 \div 8 to convert it into a decimal:

7÷8=0.8757 \div 8 = 0.875

Thus, 2124\frac{21}{24} as a decimal is 0.8750.875.


Would you like further explanation or details? Here are some related questions:

  1. How do you simplify fractions to their lowest terms?
  2. Can all fractions be expressed as terminating decimals?
  3. What is the decimal representation of 58\frac{5}{8}?
  4. How do you convert repeating decimals back into fractions?
  5. What is the difference between terminating and repeating decimals?

Tip: Simplifying fractions first can make decimal conversion easier and help identify whether the decimal will terminate or repeat.

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Math Problem Analysis

Mathematical Concepts

Fractions
Simplification
Decimal Conversion

Formulas

Simplification of fractions: GCD (Greatest Common Divisor) method
Decimal conversion: Division of numerator by denominator

Theorems

Division Algorithm

Suitable Grade Level

Grades 5-7