rename the following fraction to similar fraction 2/10 and 1/6=
Answers
Step-by-step explanation:
The following section reviews the processes of renaming and simplifying fractions. These processes are invaluable when you add, subtract, multiply, or divide fractions.
Equivalent fractions
Fractions that name the same number, such as 1/2, 2/4, 3/6, 4/8, and 5/10, are called equivalent fractions. A simple method to check if fractions are equivalent is to cross multiply and check the products.
Example 1
Is equation equivalent to equation?
equation
The cross products are the same, so the fractions equation and equation are equivalent.
Example 2
Is equation equivalent to equation?
equation
The cross products are not the same, so the fractions equation and equation are not equivalent.
Simplifying fractions
When given as a final answer, a fraction should be simplified to lowest terms. Simplifying fractions is done by dividing both the numerator and denominator by the largest integer that will divide evenly into both.
Example 3
Simplify equation to lowest terms.
To simplify equation to lowest terms, divide the numerator and denominator by 5.
equation
Since equation cannot be simplified any further, that is, the numerator and denominator cannot both be evenly divided again, equation is simplified to lowest terms.
Example 4
Simplify equation to lowest terms.
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Enlarging denominators
The denominator of a fraction may be enlarged and the fraction keeps its original value by multiplying both the numerator and denominator by the same number.
Example 5
Change equation to eighths.
To change equation to eighths, simply multiply the numerator and denominator by 2.
equation
Example 6
Express equation as tenths.
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Answer:
Step-by-step explanation:
Concept:
In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.
Its equivalent fraction is a fraction that is comparable to the provided fraction.
Equivalent fractions have the same value as the original fraction but a different numerator and denominator.
We multiply the numerator and denominator by the same number in order to determine the corresponding fractions.
Given:
The fraction and
Find:
We have to find the fraction similar to and
Solution:
Given that
The fraction and
Fractions similar to are:-
and so on
Similarly, fractions similar to are :-
and so on
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