Math Problem Statement

conversion long division, decimal, percent of 1/2

Solution

To convert the fraction 12\frac{1}{2} into a decimal and a percentage, we can follow these steps:

Step 1: Convert 12\frac{1}{2} to a Decimal

To convert 12\frac{1}{2} into a decimal, divide 1 by 2.

1÷2=0.51 \div 2 = 0.5

So, 12=0.5\frac{1}{2} = 0.5 as a decimal.

Step 2: Convert 0.5 to a Percentage

To convert the decimal 0.5 into a percentage, multiply it by 100.

0.5×100=50%0.5 \times 100 = 50\%

So, 12=50%\frac{1}{2} = 50\% as a percentage.

Summary:

  • 12=0.5\frac{1}{2} = 0.5 as a decimal
  • 12=50%\frac{1}{2} = 50\% as a percentage

Would you like more details or have any questions?


Here are 5 related questions:

  1. How would you convert 34\frac{3}{4} to a decimal and a percentage?
  2. What is the decimal equivalent of 58\frac{5}{8}?
  3. How do you convert a percentage back into a fraction?
  4. What is the percentage form of 14\frac{1}{4}?
  5. How do you perform long division to convert 35\frac{3}{5} into a decimal?

Tip: When converting a fraction to a percentage, always remember to multiply the decimal by 100 to get the percentage.

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Math Problem Analysis

Mathematical Concepts

Fraction Conversion
Decimal Conversion
Percentage Conversion

Formulas

Decimal conversion by division
Percentage conversion by multiplication

Theorems

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Suitable Grade Level

Grades 5-8