7/64 added to 4/2 in Fraction Form

The result of 7/64 added to 4/2 is: 2 7/64

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac764\) and \(\frac42\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 64 and 2 is 64.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac764\) to \(\frac{7}64\)
Convert \(\frac42\) to \(\frac{128}64\)

Step 4: Add the Numerators

Add the numerators: 7 + 128 = 135

Step 5: Convert to Mixed Number

The fraction \(\frac13564\) can be written as the mixed number \(2\frac764\).

Final Answer

The result of 7/64 added to 4/2 is:

\[ \frac{7}{64} + \frac{4}{2} = 2\frac764 \]

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

\( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \) (when denominators are different)

Or simply \( \frac{a}{b} + \frac{c}{b} = \frac{a + c}{b} \) (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: