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Thought-Process to Discover Knowledge

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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.

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mathsFractionsTypes of fractions

### Like and Unlike fractions

Based on the place values (denominators), the fractions are classified as like fractions and unlike fractions.

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Which of the following observations are true for the given figure?

• The two fractions are equal.
• The two fractions are equal.
• The two fractions are not equal

The answer is 'The two fractions are equal.'. The fractions represented in the figure are of the same amount.

Which of the following observations are true for the given figure?

• The two fractions are equal.
• The two fractions are not equal
• The two fractions are not equal

The answer is 'The two fractions are not equal'. The fractions represented in the figure are of different amounts.

The two fractions are shown with one piece each. Even though the fractions are only one piece each, the amounts are different. Why?

• The whole is cut into different sizes
• The whole is cut into different sizes
• The fractions are equal

The answer is 'The whole is cut into different sizes'. The place value of these fractions are different.

The figure shows the two fractions as part of their whole. In the first fraction, the whole is divided into 8 pieces and the fraction represents 1/8 place value. In the second fraction, the whole is divided into 12 pieces and the fraction represents 1/12 place value. The sizes of single pieces are not equal. That is reflected in the denominator, as the denominator represents the number of parts the whole is divided into or the place value.

The figure shows the two fractions with different place values. First fraction has the place value of 1/8 and the second has the place value of 1/12. That is reflected in the denominators of the fractions, as the denominator represents the place value.

Like fractions are fractions in the same place value and so denominators are equal.

Unlike fractions are fractions in different place values and so denominators are not equal.

Like Fractions: The fractions are given in the same place value and so the denominators are equal.
eg: 2/4 and 3/4.

Unlike Fractions: The whole is divided into parts of different sizes. The fractions given in different place values and so the denominators are not equal.
eg: 2/3 and 3/5.

Which of the following is a meaning for the word 'like'?

• a large water body
• having same characteristics or qualities
• having same characteristics or qualities

The answer is 'having same characteristics or qualities'.

What is the term used to refer two fractions having same denominator?

• Pronunciation : Say the answer once
Spelling: Write the answer once

The answer is 'like fractions'.

What does the word 'unlike' mean?

• having different characteristics or qualities
• having different characteristics or qualities
• to remove water from a lake

The answer is 'having different characteristics or qualities'.

What is the term used to refer two fractions of different denominators?

• Pronunciation : Say the answer once
Spelling: Write the answer once

The answer is 'unlike fractions'.

Solved Exercise Problem:

What are the fractions 2/4 and 2/5?

• like fractions
• unlike fractions
• unlike fractions

The answer is 'unlike fractions'.

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