31/177 added to 109/4 in Fraction Form
The result of 31/177 added to 109/4 is: 27 301/708
Step-by-Step Solution
Step 1: Understand the Problem
We need to add the fractions \(\frac31177\) and \(\frac1094\).
Step 2: Find the Least Common Multiple (LCM)
To add fractions, we need a common denominator. The LCM of 177 and 4 is 708.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac31177\) to \(\frac{124}708\)
Convert \(\frac1094\) to \(\frac{19293}708\)
Step 4: Add the Numerators
Add the numerators: 124 + 19293 = 19417
Step 5: Convert to Mixed Number
The fraction \(\frac19417708\) can be written as the mixed number \(27\frac301708\).
Final Answer
The result of 31/177 added to 109/4 is:
Understanding Fraction Addition
How to Add Fractions
To add fractions, you need to ensure they have a common denominator. Then add the numerators:
\( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \) (when denominators are different)
Or simply \( \frac{a}{b} + \frac{c}{b} = \frac{a + c}{b} \) (when denominators are the same)
Why Simplify Fractions?
Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.
To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).
Fraction Calculator
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