Math Problem Statement

4/5 - 2/10

Solution

To solve the expression 45210\frac{4}{5} - \frac{2}{10}:

  1. First, find a common denominator. The denominators are 5 and 10. The least common denominator (LCD) of 5 and 10 is 10.

  2. Convert 45\frac{4}{5} to a fraction with a denominator of 10: 45=4×25×2=810\frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10}

  3. Now, subtract the fractions: 810210=8210=610\frac{8}{10} - \frac{2}{10} = \frac{8 - 2}{10} = \frac{6}{10}

  4. Simplify the fraction 610\frac{6}{10} by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2: 610=6÷210÷2=35\frac{6}{10} = \frac{6 \div 2}{10 \div 2} = \frac{3}{5}

So, 45210=35\frac{4}{5} - \frac{2}{10} = \frac{3}{5}.

Would you like any more details or have any questions?

Here are 5 related questions:

  1. How do you find the least common denominator of two fractions?
  2. What is the process for converting fractions to have the same denominator?
  3. How do you simplify fractions?
  4. How do you add or subtract fractions with unlike denominators?
  5. How do you convert improper fractions to mixed numbers?

Tip: When working with fractions, always simplify your answer to its lowest terms.

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Math Problem Analysis

Mathematical Concepts

Fractions
Subtraction of Fractions

Formulas

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Theorems

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Suitable Grade Level

Grades 5-7