127/157 added to 40/6 in Fraction Form

The result of 127/157 added to 40/6 is: 7 224/471

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{1}{2} 7157$ and $\frac{4}{0} 6$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 157 and 6 is 942.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{2} 7157$ to $\frac{762}{9} 42$
Convert $\frac{4}{0} 6$ to $\frac{6280}{9} 42$

Step 4: Add the Numerators

Add the numerators: 762 + 6280 = 7042

Step 5: Simplify the Fraction

We can simplify $\frac{7}{0} 42942$ to its lowest form.
The greatest common divisor (GCD) of 7042 and 942 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{3}{5} 21471$ .

Step 6: Convert to Mixed Number

The fraction $\frac{3}{5} 21471$ can be written as the mixed number $7 \frac{2}{2} 4471$ .

Final Answer

The result of 127/157 added to 40/6 is:

\frac{127}{157} + \frac{40}{6} = 7 \frac{2}{2} 4471

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).

Fraction Calculator

Calculate operations between any two fractions: