To rename 3 2/6 as an improper fraction, we first convert the mixed number to an improper fraction by multiplying the whole number by the denominator of the fraction and then adding the numerator.
A fraction represents part of a whole. When a whole is divided equally into a number of parts, a fraction tells is how many of those parts we have. A fraction has 2 parts called numerator and denominator.
Numerator - The number above the bar in a fraction that tells how many of the equal parts of the whole are being considered.
Denominator - The number below the bar in a fraction. It tells the total number of equal parts or groups into which the whole or group has been divided.
Three types of fraction:
Proper fractions are fractions whose numerators are less than the denominators. They are fractions less than 1.
How do we know if a fraction is already in its lowest terms?
A fraction is already in its lowest terms if the numerator and the denominator can no longer be divided by any number except 1. To express fractions in lowest terms, divide the numerator and the numerator by their greates common factor (GCF).
In changing a mixed number to an improper fraction, multiply the whole number by the denominator. Then add the product to the numerator. Write the answer over the denominator.
To rename [tex]3\dfrac{\:2\:}{6}[/tex] as an improper fraction, multiply the whole number by the denominator. Then, add the numerator. Place the sum over the denominator.
Answers & Comments
Verified answer
3 2/6 = (3 x 6 + 2)/6 = 20/6
Step-by-step explanation:
To rename 3 2/6 as an improper fraction, we first convert the mixed number to an improper fraction by multiplying the whole number by the denominator of the fraction and then adding the numerator.
So, 3 2/6 = (3 x 6 + 2)/6 = 20/6
Therefore, 3 2/6 as an improper fraction is 20/6.
FRACTIONS
A fraction represents part of a whole. When a whole is divided equally into a number of parts, a fraction tells is how many of those parts we have. A fraction has 2 parts called numerator and denominator.
[tex]\qquad\qquad \sf{\dfrac{ \pink{1}}{ \blue{2}} \implies \dfrac{ \pink{Numerator}}{ \blue{Denominator}}}[/tex]
Three types of fraction:
Proper fractions are fractions whose numerators are less than the denominators. They are fractions less than 1.
Improper fractions are fractions whose numerators are greater than or equal to the denominators. They are equal to or greater than 1 whole.
Mixed numbers have a whole number and a fraction written together.
How do we know if a fraction is already in its lowest terms?
A fraction is already in its lowest terms if the numerator and the denominator can no longer be divided by any number except 1. To express fractions in lowest terms, divide the numerator and the numerator by their greates common factor (GCF).
Examples:
[tex]\qquad\sf{\dfrac{4}{8}(GCF \: is \: 4) \implies \dfrac{4 \div 4}{8 \div 4} = \dfrac{1}{2}}[/tex]
[tex]\qquad\sf{\dfrac{18}{20}(GCF \: is \: 2) \implies \dfrac{18 \div 2}{20 \div 2} = \dfrac{9}{10}}[/tex]
How to change an improper fraction to mixed number? mixed number to improper fraction?
In changing an improper fractions to a mixed number, divide the numerator by the denominator and express the remainder as a fraction.
[tex] \qquad\begin{aligned} \sf{\dfrac{ \: \: 6 \: \: }{4}}\end{aligned} \implies \begin{aligned}\: \: \: \sf{1} \: \: \: \\ \sf{4} \: \: ) \sf\overline{ \: \: \: 6 \: \: \: } \\ - \underline{ \: \: \: \sf{4 }\: \: \: } \\ \: \: \: \sf{ 2} \: \: \: \end{aligned} \implies \begin{aligned}{1 \dfrac{ \: \: 2 \: \: }{4}} \end{aligned} [/tex]
In changing a mixed number to an improper fraction, multiply the whole number by the denominator. Then add the product to the numerator. Write the answer over the denominator.
[tex] \qquad \begin{aligned}\begin{aligned} \sf{1\dfrac{ \: \: 2 \: \: }{4}}\end{aligned} \implies \begin{aligned} \sf{\dfrac{(1 \times 4) + 2}{4}} \end{aligned} \implies \begin{aligned} \sf \dfrac{ \: \: 6 \: \: }{4} \end{aligned} \end{aligned} [/tex]
[tex]\Large\mathbb{SOLUTION:}[/tex]
To rename [tex]3\dfrac{\:2\:}{6}[/tex] as an improper fraction, multiply the whole number by the denominator. Then, add the numerator. Place the sum over the denominator.
[tex]\qquad \begin{aligned}\begin{aligned} \sf{3\dfrac{ \: \: 2 \: \: }{6}}\end{aligned} \implies \begin{aligned} \sf{\dfrac{(3 \times 6) + 2}{6}} \end{aligned} \implies \begin{aligned} \green{\boxed{ \bold{ \purple{ \dfrac{ \: \: 20 \: \: }{6}}}}} \end{aligned} \end{aligned}[/tex]
[tex]\qquad\qquad \bold{ANSWER:\:\:\: \green{\boxed{ \bold{ \purple{ \dfrac{ \: \: 20 \: \: }{6}}}}}}[/tex]
[tex]\\ \\ \large{ - - - - - - - - - - - - - }[/tex]
Additional Information:
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