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Two mathematical expressions are said to be equivalent if they yield the same result upon solving them. Same, selfsame, very, identical, equivalent, equal mean not different or not differing from one another. For example, let’s say we are making a recipe that requires 1/2 cup of butter. So, we can use two 1/4 cups of butter instead of one 1/2 cup. Equivalent ratios are those which can express a similar or the same relationship between numbers or values.

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Equivalent fractions can have different numerators and denominators. They are similar in ratios and identical in value. These ratios can be multiplied or divided by their common factors, which can help simplify them. Equivalent ratios have different numbers in different forms, but their relationship is reflected only by their final value.

  • This is because the term equivalent in mathematical theory is a notion that has multiple meanings.
  • Same may imply and selfsame always implies that the things under consideration are one thing and not two or more things.
  • So, the given expressions are not equivalent to each other.
  • Equivalent fractions can have different numerators and denominators.
  • Identical may imply selfsameness or suggest absolute agreement in all details.

Two fractions $\frac415$ and $\frac12x$ are equivalent. Find the value of x.

Equal means same in all aspects, whereas equivalent means similar but equivalent amount meaning not identical. Watch your kids fall in love with math & reading through our scientifically designed curriculum. So, the given expressions are not equivalent to each other. Equivalent implies amounting to the same thing in worth or significance. Identical may imply selfsameness or suggest absolute agreement in all details. Same may imply and selfsame always implies that the things under consideration are one thing and not two or more things.

Choose the fractions equivalent to $\frac53$ from the list of fractions that are shown below.

Yes, equivalent fractions are the same as they are two different ways of representing the same concept. The meaning of ‘equivalent’ generally refers to two numbers, expressions, or quantities with the same value. There are many ways to express an equivalent quantity – it can be denoted either by a bar or an equivalent symbol. Children find this topic very interesting for several reasons as they can relate to it in their daily lives. Two fractions are equivalent if the value, proportion, or quantity they represent is the same.

Alternative forms

  • Venn diagrams use the concept of logical equivalence to establish the relationship between two algebraic expressions and functions.
  • Two fractions are equivalent if the value, proportion, or quantity they represent is the same.
  • They are similar in ratios and identical in value.
  • So, we can use two 1/4 cups of butter instead of one 1/2 cup.

There are two ways in which one can define an equivalent in math. This is because the term equivalent in mathematical theory is a notion that has multiple meanings. Equivalent means that different terms and expressions with a similar value are considered equal in mathematical form.

Kids Definition

For example, 2 is said to be equal to 2 but equivalent to 1 + 1.

The use of the equivalent symbol (as three bars) is frequently used in Unicode programming for computers, as well as in Boolean algebra. Venn diagrams use the concept of logical equivalence to establish the relationship between two algebraic expressions and functions. The concept of equivalence is also used in explaining the structural similarity between the chemical compounds.

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