157/118 added to 10/4 in Fraction Form

The result of 157/118 added to 10/4 is: 3 49/59

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 157118 and 104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 118 and 4 is 236.

Step 3: Convert Fractions to Equivalent Fractions

Convert 157118 to 314236
Convert 104 to 590236

Step 4: Add the Numerators

Add the numerators: 314 + 590 = 904

Step 5: Simplify the Fraction

We can simplify 904236 to its lowest form.
The greatest common divisor (GCD) of 904 and 236 is 4.
Dividing both numerator and denominator by the GCD, we get 22659.

Step 6: Convert to Mixed Number

The fraction 22659 can be written as the mixed number 34959.

Final Answer

The result of 157/118 added to 10/4 is:

157118+104=34959

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).

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