Equivalent Fractions (Part 1)
Finding and explaining fractions with the same value
Equivalent Fractions (Part 1)
Finding and explaining fractions with the same value
Math - Grade 6-8
- 1
Write three fractions that are equivalent to 2/5.
Multiply both the numerator and denominator by the same whole number.
Three fractions equivalent to 2/5 are 4/10, 6/15, and 8/20 because the numerator and denominator are multiplied by the same number each time. - 2
Are 3/4 and 9/12 equivalent fractions? Explain how you know.
Yes, 3/4 and 9/12 are equivalent because 3 multiplied by 3 is 9 and 4 multiplied by 3 is 12. Both the numerator and denominator were multiplied by the same number. - 3
Fill in the missing number: 5/6 = 25/□.
Find what number 5 was multiplied by to become 25.
The missing number is 30 because 5 was multiplied by 5 to get 25, so 6 must also be multiplied by 5. Therefore, 5/6 = 25/30. - 4
Simplify 18/24 to an equivalent fraction in lowest terms.
The fraction 18/24 simplifies to 3/4 because both 18 and 24 can be divided by 6. - 5
Which fraction is equivalent to 7/9: 14/27, 21/27, or 28/45? Explain your choice.
Check whether the numerator and denominator were multiplied by the same number.
The fraction 21/27 is equivalent to 7/9 because 7 multiplied by 3 is 21 and 9 multiplied by 3 is 27. - 6
A rectangle is divided into 8 equal parts, and 6 parts are shaded. Write the shaded part as a fraction, then write the fraction in simplest form.
The shaded part is 6/8. In simplest form, 6/8 is 3/4 because both 6 and 8 can be divided by 2. - 7
Fill in the missing number: 4/7 = □/35.
Look at the denominators first.
The missing number is 20 because 7 was multiplied by 5 to get 35, so 4 must also be multiplied by 5. Therefore, 4/7 = 20/35. - 8
Explain why multiplying the numerator and denominator of a fraction by the same nonzero number creates an equivalent fraction.
Multiplying the numerator and denominator by the same nonzero number keeps the value of the fraction the same because it changes the number of parts counted and the total number of parts by the same factor. - 9
Use cross products to decide whether 8/10 and 12/15 are equivalent. Show your work.
Multiply across the diagonals: numerator of one fraction by denominator of the other fraction.
The fractions are equivalent because 8 multiplied by 15 is 120, and 10 multiplied by 12 is also 120. Since the cross products are equal, 8/10 = 12/15. - 10
A number line shows 0, 1/2, and 1. Name two fractions with denominators greater than 2 that are located at the same point as 1/2.
Two fractions located at the same point as 1/2 are 2/4 and 3/6. Both fractions simplify to 1/2. - 11
Simplify 45/60 to an equivalent fraction in lowest terms.
Look for the greatest common factor of 45 and 60.
The fraction 45/60 simplifies to 3/4 because both 45 and 60 can be divided by 15. - 12
Find the missing number: □/18 = 2/3.
The missing number is 12 because 3 was multiplied by 6 to get 18, so 2 must also be multiplied by 6. Therefore, 12/18 = 2/3. - 13
Two students are comparing 10/16 and 5/8. One student says they are equivalent. Is the student correct? Explain.
Try simplifying 10/16.
Yes, the student is correct because 10/16 can be simplified by dividing the numerator and denominator by 2, which gives 5/8. - 14
A circle is divided into 12 equal slices, and 9 slices are shaded. Write an equivalent fraction with a denominator of 4.
The equivalent fraction is 3/4 because 9/12 simplifies by dividing the numerator and denominator by 3. - 15
Create an equivalent fraction for 6/11 with a denominator of 55, then explain your process.
Use the same multiplication factor for the numerator and denominator.
An equivalent fraction is 30/55 because 11 was multiplied by 5 to get 55, so 6 must also be multiplied by 5 to get 30.