77/185 added to 78/4 in Fraction Form

The result of 77/185 added to 78/4 is: 19 339/370

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 77185 and 784.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 185 and 4 is 740.

Step 3: Convert Fractions to Equivalent Fractions

Convert 77185 to 308740
Convert 784 to 14430740

Step 4: Add the Numerators

Add the numerators: 308 + 14430 = 14738

Step 5: Simplify the Fraction

We can simplify 14738740 to its lowest form.
The greatest common divisor (GCD) of 14738 and 740 is 2.
Dividing both numerator and denominator by the GCD, we get 7369370.

Step 6: Convert to Mixed Number

The fraction 7369370 can be written as the mixed number 19339370.

Final Answer

The result of 77/185 added to 78/4 is:

77185+784=19339370

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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