Equivalent Fractions 4
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Question 1 of 5
1. Question
Find the fractions for each blueshaded regions and identify whether they are equivalent or not.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 blueshaded region in the first shapeno. of blueshaded parts`=2`total no. of equal parts`=7`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{2}{7}$$ Substitute values Write the fraction for the blueshaded region in the second shapeno. of blueshaded 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 Since `2/7≠2/6`, the two fractions are not equivalent.not equivalent 
Question 2 of 5
2. Question
What are the equivalent fractions for the orangeshaded 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 orangeshaded region in the first shapeno. of orangeshaded parts`=1`total no. of equal parts`=6`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{1}{6}$$ Substitute values Write the fraction for the orangeshaded region in the second shapeno. of orangeshaded parts`=3`total no. of equal parts`=18`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{3}{8}$$ Substitute values `1/6=3/18` 
Question 3 of 5
3. Question
Find the missing number`7/12=28/☐` (48)
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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 multiplied to `7` to get `28`.`7xx``?` `=` `28` `7xx``4` `=` `28` You can also get `4` by dividing `28` by `7` Since `4` was multiplied to the numerator, it must also be done to its denominator`7/12` `=` `28/☐` $$\frac{7\times\color{#CC0000}{4}}{12\times\color{#CC0000}{4}}$$ `=` `28/48` `48` 
Question 4 of 5
4. Question
Find the missing number`3/5=☐/15` (9)
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Equivalent fractions are different fractions that have equal values.Since both denominators are given, we can compare them.Identify what number was multiplied to `5` to get `15`.`5xx``?` `=` `15` `5xx``3` `=` `15` You can also get `3` by dividing `15` by `5` Since `3` was multiplied to the denominator, it must also be done to its numerator`3/5` `=` `☐/15` $$\frac{3\times\color{#CC0000}{3}}{5\times\color{#CC0000}{3}}$$ `=` `9/15` `9` 
Question 5 of 5
5. Question
Find the missing number`4/10=☐/45` (18)
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Equivalent fractions are different fractions that have equal values.Notice that `45` cannot be multiplied or divided by a number to become `10`Simplify the given complete fraction`4/10` `=` `☐/45` $$\frac{4\div\color{#CC0000}{2}}{10\div\color{#CC0000}{2}}$$ `=` `☐/45` Divide both numerator and denominator by `2` $$\frac{2}{5}$$ `=` `☐/45` Compare the denominators.Identify what number was multiplied to `5` to get `45`.`5xx``?` `=` `45` `5xx``9` `=` `45` You can also get `9` by dividing `45` by `5` Since `9` was multiplied to the denominator, it must also be done to its numerator`2/5` `=` `☐/45` $$\frac{2\times\color{#CC0000}{9}}{5\times\color{#CC0000}{9}}$$ `=` `18/45` `18`
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 LCM
 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 Fractions 1
 Multiply and Divide Mixed Fractions 2
 Multiply and Divide Mixed Fractions 3
 Multiply and Divide Mixed Fractions 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