70/123 added to 83/8 in Fraction Form

The result of 70/123 added to 83/8 is: 10 929/984

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac70123\) and \(\frac838\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 123 and 8 is 984.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac70123\) to \(\frac{560}984\)
Convert \(\frac838\) to \(\frac{10209}984\)

Step 4: Add the Numerators

Add the numerators: 560 + 10209 = 10769

Step 5: Convert to Mixed Number

The fraction \(\frac10769984\) can be written as the mixed number \(10\frac929984\).

Final Answer

The result of 70/123 added to 83/8 is:

\[ \frac{70}{123} + \frac{83}{8} = 10\frac929984 \]

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).

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