2/70 added to 145/3 in Fraction Form

The result of 2/70 added to 145/3 is: 48 38/105

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 270 and 1453.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 70 and 3 is 210.

Step 3: Convert Fractions to Equivalent Fractions

Convert 270 to 6210
Convert 1453 to 10150210

Step 4: Add the Numerators

Add the numerators: 6 + 10150 = 10156

Step 5: Simplify the Fraction

We can simplify 10156210 to its lowest form.
The greatest common divisor (GCD) of 10156 and 210 is 2.
Dividing both numerator and denominator by the GCD, we get 5078105.

Step 6: Convert to Mixed Number

The fraction 5078105 can be written as the mixed number 4838105.

Final Answer

The result of 2/70 added to 145/3 is:

270+1453=4838105

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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