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:

  1. Multiply the whole number by the denominator of the fraction:
    11×20=22011 \times 20 = 220
  2. Add the numerator of the fraction:
    220+15=235220 + 15 = 235
  3. Therefore, the improper fraction is:
    23520\frac{235}{20}

Step 2: Simplify the improper fraction (if possible).

We can simplify 23520\frac{235}{20} 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: 235÷520÷5=474\frac{235 \div 5}{20 \div 5} = \frac{47}{4}

Step 3: Convert the improper fraction to a decimal.

To convert 474\frac{47}{4} to a decimal, simply divide 47 by 4: 47÷4=11.7547 \div 4 = 11.75

So, 11 15/20 = 11.75.

Would you like more details or help with another concept?

Here are some related questions:

  1. How do you convert a mixed number to a decimal?
  2. What is the process for simplifying fractions?
  3. How do you convert a decimal to a fraction?
  4. What is the GCD, and how do you find it?
  5. 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