Math Problem Statement

Write 1.2 as a fraction in simplest form.

Solution

To convert 1.2 into a fraction in simplest form:

  1. Express 1.2 as a fraction: 1.2=12101.2 = \frac{12}{10}

  2. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2: 12÷210÷2=65\frac{12 \div 2}{10 \div 2} = \frac{6}{5}

So, 1.21.2 as a fraction in simplest form is 65\frac{6}{5}.

Would you like more details on this process, or do you have any other questions?

Here are some related questions:

  1. How do you convert 2.75 to a fraction?
  2. What is 0.375 as a fraction in simplest form?
  3. How do you find the GCD of two numbers?
  4. How do you convert a repeating decimal to a fraction?
  5. How do you convert 1.25 into a fraction?

Tip: To convert a decimal to a fraction, count the number of decimal places, use that as a power of 10 in the denominator, and simplify.

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Math Problem Analysis

Mathematical Concepts

Fractions
Decimals
Simplification

Formulas

Fraction simplification: GCD of numerator and denominator
Decimal to fraction conversion: Decimal value = Numerator / 10^n

Theorems

Greatest Common Divisor (GCD)

Suitable Grade Level

Grades 6-8