69/157 added to 48/6 in Fraction Form

The result of 69/157 added to 48/6 is: 8 69/157

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69157 and 486.

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 69157 to 414942
Convert 486 to 7536942

Step 4: Add the Numerators

Add the numerators: 414 + 7536 = 7950

Step 5: Simplify the Fraction

We can simplify 7950942 to its lowest form.
The greatest common divisor (GCD) of 7950 and 942 is 6.
Dividing both numerator and denominator by the GCD, we get 1325157.

Step 6: Convert to Mixed Number

The fraction 1325157 can be written as the mixed number 869157.

Final Answer

The result of 69/157 added to 48/6 is:

69157+486=869157

Understanding Fraction Addition

How to Add Fractions

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

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (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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