78/57 added to 154/4 in Fraction Form

The result of 78/57 added to 154/4 is: 39 33/38

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7857 and 1544.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 57 and 4 is 228.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7857 to 312228
Convert 1544 to 8778228

Step 4: Add the Numerators

Add the numerators: 312 + 8778 = 9090

Step 5: Simplify the Fraction

We can simplify 9090228 to its lowest form.
The greatest common divisor (GCD) of 9090 and 228 is 6.
Dividing both numerator and denominator by the GCD, we get 151538.

Step 6: Convert to Mixed Number

The fraction 151538 can be written as the mixed number 393338.

Final Answer

The result of 78/57 added to 154/4 is:

7857+1544=393338

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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