Math Problem Statement

convert the following decimals to fractions in their simpliest form:a)0.25 b)0.5 c)0.75

Solution

Let's convert each decimal to a fraction in its simplest form:

a) 0.25
To convert 0.25 to a fraction:

  • Write 0.25 as 25100\frac{25}{100}.
  • Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 25:

25÷25100÷25=14\frac{25 \div 25}{100 \div 25} = \frac{1}{4}

So, 0.25=140.25 = \frac{1}{4}.

b) 0.5
To convert 0.5 to a fraction:

  • Write 0.5 as 510\frac{5}{10}.
  • Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 5:

5÷510÷5=12\frac{5 \div 5}{10 \div 5} = \frac{1}{2}

So, 0.5=120.5 = \frac{1}{2}.

c) 0.75
To convert 0.75 to a fraction:

  • Write 0.75 as 75100\frac{75}{100}.
  • Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 25:

75÷25100÷25=34\frac{75 \div 25}{100 \div 25} = \frac{3}{4}

So, 0.75=340.75 = \frac{3}{4}.

Summary:

  • a) 0.25=140.25 = \frac{1}{4}
  • b) 0.5=120.5 = \frac{1}{2}
  • c) 0.75=340.75 = \frac{3}{4}

Would you like any further details or have any questions?

Here are 5 related questions:

  1. How do you convert a fraction to a decimal?
  2. What is the fraction equivalent of 0.1250.125?
  3. How do you simplify a fraction that has a decimal in the numerator?
  4. What is 0.60.6 as a fraction in its simplest form?
  5. How do you convert a repeating decimal to a fraction?

Tip: To simplify fractions, always find the greatest common divisor (GCD) of the numerator and denominator. Divide both by the GCD to get the simplest form.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Decimals
Fractions
Simplification

Formulas

-

Theorems

-

Suitable Grade Level

Grades 5-7