127/273 added to 63/4 in Fraction Form

The result of 127/273 added to 63/4 is: 16 235/1092

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac127273\) and \(\frac634\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 273 and 4 is 1092.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac127273\) to \(\frac{508}1092\)
Convert \(\frac634\) to \(\frac{17199}1092\)

Step 4: Add the Numerators

Add the numerators: 508 + 17199 = 17707

Step 5: Convert to Mixed Number

The fraction \(\frac177071092\) can be written as the mixed number \(16\frac2351092\).

Final Answer

The result of 127/273 added to 63/4 is:

\[ \frac{127}{273} + \frac{63}{4} = 16\frac2351092 \]

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).

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