Equivalent Fractions 2
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Question 1 of 4
1. Question
What are the equivalent fractions for the blue-shaded regions in the following shapes?
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$$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$Equivalent fractions are different fractions that have equal values.Write the fraction for the blue-shaded region in the first shape
no. of blue-shaded parts`=1`total no. of equal parts`=3`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{1}{3}$$ Substitute values Write the fraction for the blue-shaded region in the second shape
no. of blue-shaded parts`=2`total no. of equal parts`=6`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{2}{6}$$ Substitute values Write the fraction for the blue-shaded region in the third shape
no. of blue-shaded parts`=4`total no. of equal parts`=12`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{4}{12}$$ Substitute values `1/3=2/6=4/12` -
Question 2 of 4
2. Question
What are the equivalent fractions for the dark pink-shaded regions in the following shapes?
Hint
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Great Work!
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$$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$Equivalent fractions are different fractions that have equal values.Write the fraction for the dark pink-shaded region in the first shape
no. of dark pink-shaded parts`=15`total no. of equal parts`=25`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{15}{25}$$ Substitute values Write the fraction for the dark pink-shaded region in the second shape
no. of dark pink-shaded parts`=3`total no. of equal parts`=5`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{3}{5}$$ Substitute values `15/25=3/5` -
Question 3 of 4
3. Question
What are the equivalent fractions for the pink-shaded regions in the following shapes?
Hint
Help VideoCorrect
Excellent!
Incorrect
$$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$Equivalent fractions are different fractions that have equal values.Write the fraction for the pink-shaded region in the first shape
no. of pink-shaded parts`=2`total no. of equal parts`=5`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{2}{5}$$ Substitute values Write the fraction for the pink-shaded region in the second shape
no. of pink-shaded parts`=8`total no. of equal parts`=20`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{8}{20}$$ Substitute values `2/5=8/20` -
Question 4 of 4
4. Question
Find the missing number`15/18=☐/6`- (5)
Hint
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Fantastic!
Incorrect
Equivalent fractions are different fractions that have equal values.Since both denominators are given, we can compare them.Identify what number was divided to `18` to get `6`.`18-:``?` `=` `6` `18-:``3` `=` `6` You can also get `3` by dividing `18` by `6` Since the denominator was divided by `3`, it must also be done to its numerator`15/18` `=` `☐/6` $$\frac{15\div\color{#CC0000}{3}}{18\div\color{#CC0000}{3}}$$ `=` `5/6` `5`
Quizzes
- Shaded Fractions 1
- Shaded Fractions 2
- Equivalent Fractions 1
- Equivalent Fractions 2
- Equivalent Fractions 3
- Equivalent Fractions 4
- Simplify Fractions 1
- Simplify Fractions 2
- Simplify Fractions 3
- Find the Lowest Common Denominator
- Comparing Fractions 1
- Comparing Fractions 2
- Comparing Fractions 3
- Mixed and Improper Fractions 1
- Mixed and Improper Fractions 2
- Mixed and Improper Fractions 3
- Add and Subtract Fractions 1
- Add and Subtract Fractions 2
- Add and Subtract Fractions 3
- Add and Subtract Fractions 4
- Multiply and Divide Fractions 1
- Multiply and Divide Fractions 2
- Multiply and Divide Fractions 3
- Add and Subtract Mixed Numbers 1
- Add and Subtract Mixed Numbers 2
- Add and Subtract Mixed Numbers 3
- Multiply and Divide Mixed Numbers 1
- Multiply and Divide Mixed Numbers 2
- Multiply and Divide Mixed Numbers 3
- Multiply and Divide Mixed Numbers 4
- Fraction Word Problems: Addition and Subtraction 1
- Fraction Word Problems: Addition and Subtraction 2
- Fraction Word Problems: Addition and Subtraction 3
- Fraction Word Problems: Addition and Subtraction 4
- Fraction Word Problems: Multiplication and Division
- Find the Fraction of a Quantity
- Find the Quantity of a Quantity 1
- Find the Quantity of a Quantity 2
- Find the Fraction of a Quantity: Word Problems 1
- Find the Fraction of a Quantity: Word Problems 2
- Find the Fraction of a Quantity: Word Problems 3
- Find the Fraction of a Quantity: Word Problems 4
- Find the Quantity of a Quantity: Word Problems
- Order of Operations Involving Fractions 1
- Order of Operations Involving Fractions 2