17/42 added to 151/4 in Fraction Form

The result of 17/42 added to 151/4 is: 38 13/84

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1742 and 1514.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 42 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1742 to 3484
Convert 1514 to 317184

Step 4: Add the Numerators

Add the numerators: 34 + 3171 = 3205

Step 5: Convert to Mixed Number

The fraction 320584 can be written as the mixed number 381384.

Final Answer

The result of 17/42 added to 151/4 is:

1742+1514=381384

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

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