10/70 added to 207/4 in Fraction Form

The result of 10/70 added to 207/4 is: 51 25/28

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1070 and 2074.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 70 and 4 is 140.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1070 to 20140
Convert 2074 to 7245140

Step 4: Add the Numerators

Add the numerators: 20 + 7245 = 7265

Step 5: Simplify the Fraction

We can simplify 7265140 to its lowest form.
The greatest common divisor (GCD) of 7265 and 140 is 5.
Dividing both numerator and denominator by the GCD, we get 145328.

Step 6: Convert to Mixed Number

The fraction 145328 can be written as the mixed number 512528.

Final Answer

The result of 10/70 added to 207/4 is:

1070+2074=512528

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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