Math Problem Statement

How to convert 046. To a fraction or mixed number

Solution

To convert 0.46 into a fraction:

Step 1: Write the decimal as a fraction.

Since 0.46 has two decimal places, it can be written as:

0.46=461000.46 = \frac{46}{100}

Step 2: Simplify the fraction.

Now, simplify 46100\frac{46}{100} by finding the greatest common divisor (GCD) of 46 and 100, which is 2.

46100=46÷2100÷2=2350\frac{46}{100} = \frac{46 \div 2}{100 \div 2} = \frac{23}{50}

Thus, 0.46 as a fraction is:

2350\frac{23}{50}

Mixed Number

Since 0.46 is less than 1, it cannot be expressed as a mixed number. Therefore, the fraction 2350\frac{23}{50} is the final answer.


Would you like further clarification or details on the process?

Related Questions:

  1. How do you convert repeating decimals to fractions?
  2. How can you convert fractions to decimals?
  3. What are the steps to simplify fractions with large numbers?
  4. How do you convert improper fractions to mixed numbers?
  5. How can you convert percentages to fractions?

Tip: Always simplify the fraction after converting a decimal to make it easier to interpret.

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Math Problem Analysis

Mathematical Concepts

Fractions
Decimals
Simplification

Formulas

Decimal to Fraction Conversion
Simplifying Fractions

Theorems

Greatest Common Divisor (GCD)

Suitable Grade Level

Grades 4-6