70/174 subtracted by 102/3 in Fraction Form

The result of 70/174 subtracted by 102/3 is: -34 35/87

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac1023\) from \(\frac70174\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 174 and 3 is 174.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac70174\) to \(\frac{70}174\)
Convert \(\frac1023\) to \(\frac{5916}174\)

Step 4: Subtract the Numerators

Subtract the numerators: 70 - 5916 = -5846

Step 5: Simplify the Fraction

We can simplify \(\frac-5846174\) to its lowest form.
The greatest common divisor (GCD) of -5846 and 174 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-292387\).

Step 6: Convert to Mixed Number

The fraction \(\frac-292387\) can be written as the mixed number \(-34\frac3587\).

Final Answer

The result of 70/174 subtracted by 102/3 is:

\[ \frac{70}{174} - \frac{102}{3} = -34\frac3587 \]

Understanding Fraction Subtraction

How to Subtract Fractions

To subtract fractions, you need to ensure they have a common denominator. Then subtract 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: