Respuesta :
The expression [tex]\dfrac{1}{3}[/tex] is [tex]\boxed{{\mathbf{equivalent}}}[/tex] to the expression [tex]\dfrac{4}{12}[/tex].
Further explanation:
The number ab is the product of [tex]a\;\text{and}\;b[/tex] and it is the multiple of [tex]a[/tex] where [tex]b[/tex] are the integers.
It can be written as,
[tex]ab=a\times b[/tex]
Given:
The given expressions are [tex]\dfrac{1}{3}[/tex] and [tex]\dfrac{4}{12}[/tex].
Step by step explanation:
Step 1:
The given expression is [tex]\dfrac{4}{12}[/tex].
The denominator and the numerator of the given expression is the multiple of [tex]4[/tex].
The denominator of the expression can be written in the multiple of 4 as,
[tex]12=4\times3[/tex]
Therefore, the number 12 is the multiple of [tex]3\;\text{and}\;4[/tex].
The numerator of the expression can be written in the multiple of 4 as,
[tex]4=4\times1[/tex]
Therefore, the number 4 is the multiple of [tex]1\;\text{and}\;4[/tex].
Step 2:
Now, divide the given expression [tex]\dfrac{4}{12}[/tex] by 4 to convert in the lowest form as,
[tex]\begin{aligned}\frac{4}{12}&=\dfrac{4\div4}{12\div4}\\&=\dfrac{1}{3}\end{aligned}[/tex]
It can be seen that the resultant answer is [tex]\dfrac{1}{3}[/tex].
Now, divide the given expression [tex]\dfrac{1}{3}[/tex] by 1 as,
[tex]\begin{aligned}\dfrac{1}{3}&=\dfrac{1\div1}{3\div1}\\&=\dfrac{1}{3}\end{aligned}[/tex]
It can be seen that the resultant answer is [tex]\dfrac{1}{3}[/tex].
Thus, it can be seen that the expression [tex]\dfrac{1}{3}[/tex] is equivalent to the expression [tex]\dfrac{4}{12}[/tex].
Learn more:
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Answer details:
Grade: Junior school
Subject: Mathematics
Chapter: Fractions
Keywords: Integers, expression, denominator, numerator, fractions, lowest form, product, multiple, equivalent, number, divide, multiply.
