Equivalent Fractions 1
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Question 1 of 5
1. Question
What are the equivalent fractions for the green-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 green-shaded region in the first shape
no. of green-shaded parts`=1`total no. of equal parts`=2`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{1}{2}$$ Substitute values Write the fraction for the green-shaded region in the second shape
no. of green-shaded parts`=2`total no. of equal parts`=4`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{2}{4}$$ Substitute values Write the fraction for the green-shaded region in the third shape
no. of green-shaded parts`=4`total no. of equal parts`=8`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{4}{8}$$ Substitute values `1/2=2/4=4/8` -
Question 2 of 5
2. Question
What are the equivalent fractions for the blue-shaded regions in the following shapes?
Hint
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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`=2`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{1}{2}$$ Substitute values Write the fraction for the blue-shaded region in the second shape
no. of blue-shaded parts`=4`total no. of equal parts`=8`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{4}{8}$$ Substitute values `1/2=4/8` -
Question 3 of 5
3. Question
What are the equivalent fractions for the blue-shaded regions in the following shapes?
Hint
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Keep Going!
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 blue-shaded region in the first shape
no. of blue-shaded parts`=1`total no. of equal parts`=4`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{1}{4}$$ Substitute values Write the fraction for the blue-shaded region in the second shape
no. of blue-shaded parts`=5`total no. of equal parts`=20`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{5}{20}$$ Substitute values `1/4=5/20` -
Question 4 of 5
4. Question
What are the equivalent fractions for the blue-shaded regions in the following shapes?
Hint
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Well Done!
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 blue-shaded region in the first shape
no. of blue-shaded parts`=1`total no. of equal parts`=2`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{1}{2}$$ Substitute values Write the fraction for the blue-shaded region in the second shape
no. of blue-shaded parts`=7`total no. of equal parts`=14`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{7}{14}$$ Substitute values `1/2=7/14` -
Question 5 of 5
5. Question
Find the missing number`21/24=( 7)/☐`- (8)
Hint
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Equivalent fractions are different fractions that have equal values.Since both numerators are given, we can compare them.Identify what number was divided to `21` to get `7`.`21-:``?` `=` `7` `21-:``3` `=` `7` You can also get `3` by dividing `21` by `7` Since the numerator was divided by `3`, it must also be done to its denominator`21/24` `=` `7/☐` $$\frac{21\div\color{#CC0000}{3}}{24\div\color{#CC0000}{3}}$$ `=` `7/8` `8`
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