2/38 subtracted by 7/3 in Fraction Form

The result of 2/38 subtracted by 7/3 is: -3 41/57

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction 73 from 238.

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 38 and 3 is 114.

Step 3: Convert Fractions to Equivalent Fractions

Convert 238 to 6114
Convert 73 to 266114

Step 4: Subtract the Numerators

Subtract the numerators: 6 - 266 = -260

Step 5: Simplify the Fraction

We can simplify 260114 to its lowest form.
The greatest common divisor (GCD) of -260 and 114 is 2.
Dividing both numerator and denominator by the GCD, we get 13057.

Step 6: Convert to Mixed Number

The fraction 13057 can be written as the mixed number 34157.

Final Answer

The result of 2/38 subtracted by 7/3 is:

23873=34157

Understanding Fraction Subtraction

How to Subtract Fractions

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

abcd=adbcbd (when denominators are different)

Or simply abcb=acb (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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