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How do you know if a fraction is equivalent?
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Equivalent Fractions have the same value, even though they may look different. These fractions are really the same: 1 2 = 2 4 = 4 8. Why are they the same? Because when you multiply or divide both the top and bottom by the same number, the fraction keeps it's value. The rule to remember is: "Change the bottom using multiply or divide,
Example 5: equivalent expressions with fractions Are the expressions \frac{1}{2} p+5 p-\frac{3}{4} and 4 \frac{3}{4} p equivalent? Use the properties of operations to create equivalent expressions.
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Multiply the numerator and denominator by the same number. Two fractions that are different but equivalent have, by definition, numerators and denominators that are multiples of each other. In other words, multiplying the numerator and denominator of a fraction by the same number will produce an equivalent fraction. Though the numbers in the new fraction will be different, the fractions will ...Divide the numerator and denominator by the same number. Like multiplication, division can also be used to find a new fraction that's equivalent to your starting fraction. Simply divide the numerator and the denominator of a fraction by the same number to obtain an equivalent fraction. There is one caveat to this process--the resulting fraction must have whole numbers in both the numerator ...Converting fractions to equivalent forms is actually a form of multiplying them by 1. In converting 1/2 to 2/4, multiplying the numerator and denominator by 2 is the same as multiplying 1/2 by 2/2, which equals 1. Thanks Helpful 3 Not Helpful 7If desired, convert mixed numbers to improper fractions to make converting easier. Obviously, not every fraction you come across will be as easy to convert as our 4/8 example above. For instance, mixed numbers (e.g. 1 3/4, 2 5/8, 5 2/3, etc.) can make the conversion process a little more complicated. If you need to convert a mixed number to an equivalent fraction, you can do it in two ways: by changing the mixed number to an improper fraction, then converting as normal, or by maintaining the mixMultiplication and division work for obtaining equivalent fractions because multiplying and dividing by fractional forms of the number 1 (2/2, 3/3, etc.) give answers that are equivalent to the starting fraction by definition. Addition and subtraction don't allow this possibility. Thanks Helpful 3 Not Helpful 3Although you multiply the numerators and denominators together when multiplying fractions, you do not add or subtract denominators when adding or subtracting fractions. For example, above, we found that 4/8 ÷ 4/4 = 1/2 . If we instead added by 4/4, we would have gotten a completely different answer. 4/8 + 4/4 = 4/8 + 8/8 = 12/8 = 1 1/2 or 3/2, neither of which are equal to 4/8. Thanks Helpful 0 Not Helpful 0- 420.8K
Equivalent fractions represent the same portion of the whole. For each fraction, we can find its equivalent fraction by multiplying both numerator and denominator with the same number. For example, we have to find the third equivalent fraction of ⅔; then we have to multiply 2/3 by 3/3.
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- What are equivalent fractions?Two or more fractions that have different numerators and denominators but result in the same value after simplification are said to be equivalent f...
- What are the examples of equivalent fractions?The examples of equivalent fractions are: 2/4 and 3/6 ⅓ and 3/9 ⅕ and 5/25 ¾ and 12/16
- How to determine whether fractions are equivalent?We need to simplify the given fractions to find whether they are equivalent or not. Suppose 3/9 and ⅔ are two fractions. 3/9 can be further simplif...
- What is the equivalent fraction of ⅗?To find the equivalent fraction of ⅗, we need to multiply both numerator and denominator by the same number. Hence, ⅗ × (2/2) = 6/10
- What are the equivalent fractions of 5/10?5/10 is equal to ½ after simplification. Hence, the equivalent fractions of 5/10 are: ½, 2/4, 3/6, 4/8 and so on.
Aug 5, 2019 · Creating Equivalent Fractions. If you start with a fraction, then multiply both its numerator and denominator by the same number, the resulting fraction is equivalent (has the same numerical value) to the original fraction. In symbols, a b = a ⋅ x b ⋅ x.
1 2 and 5 10 are equivalent fractions. The numbers are different, but both are equal to 0.5 . 2 ( x + 1 ) and 2 x + 2 are equivalent algebraic expressions.
Equivalent fractions. Fractions are equivalent if they are equal or represent the same amount. Fraction model. Let's look at an example. 1 2 =? 8. First, we can draw 1 2 . Now, let's divide the same whole into eighths. How can we shade the whole to show a fraction that is equivalent to 1 2 ? We shaded 4 of the 8 sections. So, 1 2 = 4 8 .
