127/53 added to 113/6 in Fraction Form

The result of 127/53 added to 113/6 is: 21 73/318

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{1}{2} 753$ and $\frac{1}{1} 36$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 53 and 6 is 318.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{2} 753$ to $\frac{762}{3} 18$
Convert $\frac{1}{1} 36$ to $\frac{5989}{3} 18$

Step 4: Add the Numerators

Add the numerators: 762 + 5989 = 6751

Step 5: Convert to Mixed Number

The fraction $\frac{6}{7} 51318$ can be written as the mixed number $21 \frac{7}{3} 318$ .

Final Answer

The result of 127/53 added to 113/6 is:

\frac{127}{53} + \frac{113}{6} = 21 \frac{7}{3} 318

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

$\frac{a}{b} + \frac{c}{d} = \frac{a d + b c}{b d}$ (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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