70/146 added to 100/4 in Fraction Form

The result of 70/146 added to 100/4 is: 25 35/73

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 70146 and 1004.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 146 and 4 is 292.

Step 3: Convert Fractions to Equivalent Fractions

Convert 70146 to 140292
Convert 1004 to 7300292

Step 4: Add the Numerators

Add the numerators: 140 + 7300 = 7440

Step 5: Simplify the Fraction

We can simplify 7440292 to its lowest form.
The greatest common divisor (GCD) of 7440 and 292 is 4.
Dividing both numerator and denominator by the GCD, we get 186073.

Step 6: Convert to Mixed Number

The fraction 186073 can be written as the mixed number 253573.

Final Answer

The result of 70/146 added to 100/4 is:

70146+1004=253573

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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