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

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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.

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

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Converting unlike to like fractions

» Convert to equivalent fractions with LCM of denominators as the denominator

→ eg: `3/4` and `2/3`

→ eg: `9/12` and `8/12`

*plain and simple summary*

nub

*plain and simple summary*

nub

dummy

To convert unlike fractions to like fractions, find equivalent fractions with equal place value.

*simple steps to build the foundation*

trek

*simple steps to build the foundation*

trek

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In this page, converting two or more unlike fractions to like fractions is explained.

Starting on learning "Converting UnLike fractions". ;; In this page, converting two or more unlike fractions to like fractions is explained.

What is the fraction represented by the colored part in the given figure?

- `3/4`
- `1/4`

The answer is '`1/4`'.

What is the fraction represented by the colored part in the given figure?

- `3/4`
- `1/4`

The answer is '`3/4`'.

What is the fraction represented by the colored part in the given figure?

- `7/8`
- `5/8`

The answer is '`5/8`'.

The figure shows two fractions `3/4` and `5/8`. Are they like fractions?

- No, they are unlike fractions
- Yes, they are like fractions

The answer is 'No, they are unlike fractions'. The denominators are `4` and `8`, so the place values are different.

The figure shows two fractions `3/4` and `5/8`. What is the best way to convert them to like fractions?

- Unlike fractions cannot be converted to like fractions
- ff the parts of the first fraction is cut into two pieces

The answer is 'If the parts of the first fraction is cut into two pieces.'. The place value of one fraction is modified to match the other fraction.

The figure shows two fractions `3/4` and `5/8`. If the fraction having place value `1/4` is modified to have place value `1/8`, then these fractions will be like fractions. The conversion is shown in the figure.

After converting the fraction to have same place value, the number represented by fraction is found. The figure shows the two fractions. The converted fractions are `6/8` and `5/8`. These are like fractions.

What is the fraction represented by the colored part in the given figure?

- `1/3`
- `2/3`

The answer is '`2/3`'.

The figure shows two fractions `3/4` and `2/3`. What is the best way to convert them to like fractions?

- Unlike fractions cannot be converted to like fractions
- By making the place values or denominators equal

The answer is 'By making the place values or denominators equal'.

The figure shows two fractions `3/4` and `2/3`. The denominators are `4` and `3`. To make them like fractions, the place value is chosen to be the common multiple of the denominator. The conversion is shown in the figure.

After converting the fraction to have the same place value, the number represented by fraction is found. The figure shows the two fractions. The converted fractions are `9/12` and `8/12`. These are like fractions.

This process involves finding equivalent fractions of the given fractions. The place value or the denominator is chosen to be equal.

`3/4 = (3xx3)/(4xx3) = 9/12`

`2/3 = (2xx4)/(3xx4) = 8/12`

An example of conversion of unlike fractions to like fraction is shown in the figure. To convert the fractions to the same place value,

• the fractions are to be converted to equivalent fractions.

• the "least common multiple" of denominators is found and

• the denominators of the given fractions are converted to the multiple

• when modifying denominators, numerators are modified accordingly.

*comprehensive information for quick review*

Jogger

*comprehensive information for quick review*

Jogger

dummy

**Convert Unlike to Like fractions** The procedural simplification is as follows.

Two fractions `p/q` and `l/m` are given. Find the LCM of denominators `q` and `m` such that `text(LCM) = qxxi = mxxj`. Then convert the fractions to equivalent fractions `(p xx i)/(q xx i)` and `(l xx j)/(m xx j)`. These are like fractions.

*practice questions to master the knowledge*

Exercise

*practice questions to master the knowledge*

Exercise

*your progress details*

Progress

*About you*

Progress

What is the fraction represented by the colored part in the given figure?

3

3/4

1

one by 4

The answer is " one by 4 ".

What is the fraction represented by the colored part in the given figure?

3

3/4

1

one by 4

The answer is " 3 by 4 ".

What is the fraction represented by the colored part in the given figure?

7

7/8

5

5 by 8

The answer is " 5 by 8".

The figure shows two fractions 3/4 and 5/8 . Are they like fractions?

no;unlike

No, they are unlike fractions

yes;s;like

Yes, they are like fractions

The answer is 'No, they are unlike fractions'. The denominators are 4 and 8 , so the place values are different.

The figure shows two fractions 3/4 and 5/8 . What is the best way to convert them to like fractions?

unlike;cannot;converted

Unlike fractions cannot be converted to like fractions

parts;first;cut

ff the parts of the first fraction is cut into two pieces

The answer is 'If the parts of the first fraction is cut into two pieces.'. The place value of one fraction is modified to match the other fraction.

The figure shows two fractions 3/4 and 5/8 . If the fraction having place value 1/4 is modified to have place value 1/8 , then these fractions will be like fractions.

After converting the fraction to have same place value, the number represented by fraction is found. The figure shows the two fractions. The converted fractions are 6 by 8 and 5 by 8. These are like fractions.

What is the fraction represented by the colored part in the given figure?

1

1/3

2

2/3

The answer is ' 2/3 '.

The figure shows two fractions 3/4 and 2/3 . What is the best way to convert them to like fractions?

unlike;cannot;converted

Unlike fractions cannot be converted to like fractions

parts;first;cut

By making the place values or denominators equal

The answer is 'By making the place values or denominators equal'.

The figure shows two fractions 3 by 4 and 2 by 3. The denominators are 4 and 3. To make them like fractions, the place value is chosen to be the common multiple of the denominator. The conversion is shown in the figure.

After converting the fraction to have the same place value, the number represented by fraction is found. The figure shows the two fractions. The converted fractions are 9 by 12 and 8 by 12. These are like fractions. ;; This process involves finding the equivalent fractions of the given fractions. The place value or the denominator is chosen to be equal.

An example of conversion of unlike fractions to like fraction is shown in the figure. ;; To convert the fractions to the same place value, the fractions are to be converted to equivalent fractions. The lease common multiple of denominators is found. And the denominators of the given fractions are converted to the multiple. When modifying denominators, numerators are modified accordingly.

To convert unlike fractions to like fractions, find equivalent fractions with equal place value.

Convert Unlike to Like fractions: The procedural simplification is as follows. ;; Two fractions p by q and l by m are given. Find the LCM of denominators q and m such that L C M = q times i = m times j. Then convert the fractions to equivalent fractions (p times i) by (q times i) and (l times j) by (m times j). These are equivalent fractions.