Math Problem Statement
11 15/20 =
Solution
The expression you’ve written, 11 15/20, represents a mixed number. To convert it to a proper fraction or decimal, follow these steps:
Step 1: Convert the mixed number to an improper fraction.
A mixed number consists of a whole number and a fraction. Here, the whole number is 11, and the fraction is 15/20.
To convert it:
- Multiply the whole number by the denominator of the fraction:
- Add the numerator of the fraction:
- Therefore, the improper fraction is:
Step 2: Simplify the improper fraction (if possible).
We can simplify by finding the greatest common divisor (GCD) of 235 and 20. The GCD of 235 and 20 is 5.
Now, divide both the numerator and the denominator by 5:
Step 3: Convert the improper fraction to a decimal.
To convert to a decimal, simply divide 47 by 4:
So, 11 15/20 = 11.75.
Would you like more details or help with another concept?
Here are some related questions:
- How do you convert a mixed number to a decimal?
- What is the process for simplifying fractions?
- How do you convert a decimal to a fraction?
- What is the GCD, and how do you find it?
- How can you convert a fraction to a percentage?
Tip: Always simplify fractions to their lowest terms before working with them in calculations.
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Math Problem Analysis
Mathematical Concepts
Fractions
Mixed Numbers
Decimals
Simplification
Formulas
Improper Fraction Formula: Whole Number × Denominator + Numerator = New Numerator
Simplification using GCD: GCD(Numerator, Denominator)
Decimal Conversion: Numerator ÷ Denominator
Theorems
Greatest Common Divisor (GCD)
Suitable Grade Level
Grades 5-7