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How can I use multiplication to find equivalent fractions?

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David Jia is an Academic Tutor and the Founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in various subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. After attaining a perfect 800 math score and a 690 English score on the SAT, David was awarded the Dickinson Scholarship from the University of Miami, where he graduated with a Bachelor’s degree in Business Administration. Additionally, David has worked as an instructor for online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.

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Expert Answer

Multiply the top number and bottom number by the same value to find a fraction that's equivalent to the original.

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Question

How do I draw a picture to show that 1/3 is equivalent to 2/6?

Donagan

Top Answerer

An easy way is to draw a circle graph. Divide the circle into sixths. Each sixth of the circle would have a central angle of 60°. Then show (perhaps with the use of color) that two adjacent sixths combine to make one-third of the circle (with a central angle of 120°).

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Question

What is equivalent to 4 and 2/14?

Donagan

Top Answerer

For easier computation, convert 2/14 to 1/7. So the mixed number is 4 1/7. If you want to convert that number to an improper fraction, keep the denominator the same. For the new numerator, multiply the whole number by the denominator and add the old numerator. In this example, multiply 4 by 7 to get 28, then add 1 to get a numerator of 29. The denominator is 7.

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Why do I need to know how to find equivalent fractions?

Donagan

Top Answerer

It is a step commonly taken while solving all sorts of math problems.

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What would 4 be with denominator of 2?

Donagan

Top Answerer

4 = 8/2.

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Question

What fraction is equal to two fifths?

Donagan

Top Answerer

Multiply both the numerator and the denominator by the same integer (other than 1). That gives you a fraction equal to 2/5. For example, you could multiply both the numerator and the denominator by 6, so that 2/5 is equal to 12/30.

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Question

How can I find the equivalent of 1 3/4?

Community Answer

If you mean an improper fraction: Find the number of quarters in 1 (4) and add them to the number of quarters in 3/4 (3). 4+3 = 7, so the answer is 7/4.

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Question

What is an equivalent number for 5 and 7/10?

Danoyachtcapt

Top Answerer

You divide 7 by 10 = .7 then add 5 = 5.7

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Question

What's the equivalent fraction of 5/6?

Donagan

Top Answerer

Get an equivalent fraction by multiplying both the numerator and the denominator by the same number. Two examples: Multiply both 5 and 6 by 4: 20/24 = 5/6; multiply both 5 and 6 by 9: 45/54 = 5/6.

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Question

What are equivalent fraction of -5/9?

Community Answer

Multiply both the numerator and the denominator by the same integer (any whole number). That will give you an equivalent fraction. For example, multiply both -5 and 9 by 3: that forms a new fraction, -15/27.

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What would be 8 with the denominator as 4?

Community Answer

It would be 32/4. (8 x 4 = 32.)

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Question

What if it's a whole number?

Donagan

Top Answerer

A whole number can be converted to an equivalent fraction by making the whole number the numerator and using 1 as the denominator. You can then, if desired, multiply both numerator and denominator by the same number to create another equivalent fraction.

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Question

What are equivalent fractions for 3/3 and 6/6?

Donagan

Top Answerer

Both of those fractions are equivalent to the whole number 1. Any fraction whose numerator and denominator are identical to each other (or have the same value) is equal to 1 and would be equivalent to the two fractions given above.

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Question

How do I find 25/75?

Community Answer

Divide both numerator and denominator by 25. That leaves 1 in the numerator and 3 in the denominator. 25/75 = 1/3.

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Question

What is equivalent fraction: 2/8=12/ ?

Community Answer

2/8 = 12/x. Cross-multiply: (2)(x) = (8)(12). So 2x = 96, and x = 48. Therefore, 2/8 = 12/48.

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What is a fraction equivalent to 56/80?

Community Answer

56/80 reduces to 7/10. (You divide both numerator and denominator by 8.)

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