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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue
mathsFractionsTypes of fractions

Simplest form of a fraction

The simplest form of equivalent fractions is explained and given a fraction, the procedure to find the simplest form is detailed.



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The picture shows four fractions , `1/2`, `2/4`, `3/6`, and `4/8`. These are equivalent fractions. simplest form of fractions A fraction without a common factor between the numerator and the denominator is the simplest form of the equivalent fractions. The fraction `3/6` is given. what would be the approach to find the simplest form of the fraction?

  • divide the numerator and denominator by any common factors
  • divide the numerator and denominator by any common factors
  • multiply the numerator and denominator such that they are common multiple

The answer is 'divide the numerator and denominator by the highest common factor (HCF) or the greatest common divisor (GCD). '

A fraction without a common factor between the numerator and the denominator is the simplest form of the equivalent fractions.

Finding Simplest form of a fraction: Given a fraction `p/q`, to find the simplest form of the fraction
find the highest common factor `i` such that `p = l xx i` and `q = m xx i`. Then the simplest form is `l/m`.'

Solved Exercise Problem:

What is the simplest form of `35/45`?

  • `9/9`
  • `7/9`
  • `7/9`
  • `5/5`
  • `9/7`

The answer is '`7/9`'. The HCF of numerator and denominator is `5` which is canceled in both numerator and denominator. `35/45 = (7 xx 5)/(9 xx 5) = 7/9`

                            
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