70/102 added to 152/2 in Fraction Form

The result of 70/102 added to 152/2 is: 76 35/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 70102 and 1522.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 2 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 70102 to 70102
Convert 1522 to 7752102

Step 4: Add the Numerators

Add the numerators: 70 + 7752 = 7822

Step 5: Simplify the Fraction

We can simplify 7822102 to its lowest form.
The greatest common divisor (GCD) of 7822 and 102 is 2.
Dividing both numerator and denominator by the GCD, we get 391151.

Step 6: Convert to Mixed Number

The fraction 391151 can be written as the mixed number 763551.

Final Answer

The result of 70/102 added to 152/2 is:

70102+1522=763551

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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