4/70 added to 45/6 in Fraction Form

The result of 4/70 added to 45/6 is: 7 39/70

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 470 and 456.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 70 and 6 is 210.

Step 3: Convert Fractions to Equivalent Fractions

Convert 470 to 12210
Convert 456 to 1575210

Step 4: Add the Numerators

Add the numerators: 12 + 1575 = 1587

Step 5: Simplify the Fraction

We can simplify 1587210 to its lowest form.
The greatest common divisor (GCD) of 1587 and 210 is 3.
Dividing both numerator and denominator by the GCD, we get 52970.

Step 6: Convert to Mixed Number

The fraction 52970 can be written as the mixed number 73970.

Final Answer

The result of 4/70 added to 45/6 is:

470+456=73970

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

Calculate operations between any two fractions: