53/185 added to 10/4 in Fraction Form

The result of 53/185 added to 10/4 is: 2 291/370

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 53185 and 104.

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 53185 to 212740
Convert 104 to 1850740

Step 4: Add the Numerators

Add the numerators: 212 + 1850 = 2062

Step 5: Simplify the Fraction

We can simplify 2062740 to its lowest form.
The greatest common divisor (GCD) of 2062 and 740 is 2.
Dividing both numerator and denominator by the GCD, we get 1031370.

Step 6: Convert to Mixed Number

The fraction 1031370 can be written as the mixed number 2291370.

Final Answer

The result of 53/185 added to 10/4 is:

53185+104=2291370

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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