How can equivalent fractions be identified?

Answer 1

If you cross multiply you will get the same answer from equivalent fractions,

You can check in one step whether fractions are equivalent or not.

Consider #2/3 and 8/12#

If they are equivalent fractions, when you cross multiply you will get the same product each time:

#color(blue)(2)/color(red)(3) and color(red)(8)/color(blue)(12)#
#color(blue)(2xx12) and color(red)(3xx8)#
#color(blue)(24) = color(red)(24)#

Therefore the fractions are equivalent.

Consider:

#5/9 and 6/11" "larr# both are slightly more than #1/2#
#55 !=54#

The fractions are not equivalent.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

Equivalent fractions can be identified by comparing fractions that represent the same portion of a whole or set. Two fractions are equivalent if they represent the same value, even though they may be written in different forms. To identify equivalent fractions, you can use the following methods:

  1. Multiplying or Dividing: Multiply or divide both the numerator and the denominator of a fraction by the same non-zero number. The resulting fraction will be equivalent to the original one.

  2. Simplifying or Reducing: Find the greatest common divisor (GCD) of the numerator and denominator, then divide both by this common divisor. The resulting fraction is in its simplest form and is equivalent to the original fraction.

  3. Cross-Multiplication: If you have two fractions, you can cross-multiply and check if the products are equal. If they are, then the fractions are equivalent.

  4. Using Decimal or Percentage Form: Convert fractions into decimal or percentage form and compare them. If the decimals or percentages are equal, then the fractions are equivalent.

  5. Common Factors: Identify common factors between the numerator and denominator of fractions. If both fractions have the same ratio of common factors, they are equivalent.

By applying these methods, you can easily identify equivalent fractions and recognize when fractions represent the same portion of a whole or set.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7