Step-by-step explanation:
Fractions are a ratio of two quantities or in the form of \frac{a}{b}
b
a
where b is not equal to zero. There are different types of fractions and different rules in adding fractions.
Types of Fractions
1. Similar Fractions
2. Dissimilar Fractions
Similar fractions are those fractions that have the same denominators.
Dissimilar fractions are those fractions that are having different denominators.
Adding similar fractions is very easy since you only need to copy the denominator and add the numerators.
However, adding dissimilar fraction is different since you need to determine first the LCM or least common multiple of the denominators.
It's always better to reduce the fraction if possible before doing the addition.
\frac{2}{4}=\frac{1}{2}
4
2
=
1
\frac{1}{2}+\frac{1}{3}
+
3
Find the LCM of the denominators. The LCM is 6. Simply multiply the denominators.
Divide the LCM by the denominator of the first fraction, then multiply the result by the numerator and denominator of the first fraction.
6 \div2=36÷2=3
\frac{1}{2}\cdot\frac{3}{3}+\frac{1}{3}
⋅
Divide the LCM by the denominator of the second fraction, then multiply the result by the numerator and denominator of the second fraction.
6 \div3=26÷3=2
\frac{1}{2}\cdot\frac{3}{3}+\frac{1}{3}\cdot\frac{2}{2}
Simplify and add fractions.
\begin{gathered}\begin{aligned}\frac{1}{2}\cdot\frac{3}{3}+\frac{1}{3}\cdot\frac{2}{2}&=\frac{3}{6}+\frac{2}{6}\\&=\frac{5}{6}\end{aligned}\end{gathered}
6
5
#LetsStudy
To learn more about adding fractions, go to
brainly.ph/question/2177186
brainly.ph/question/6173467
brainly.ph/question/2310625
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Answers & Comments
Step-by-step explanation:
Fractions are a ratio of two quantities or in the form of \frac{a}{b}
b
a
where b is not equal to zero. There are different types of fractions and different rules in adding fractions.
Types of Fractions
1. Similar Fractions
2. Dissimilar Fractions
Similar fractions are those fractions that have the same denominators.
Dissimilar fractions are those fractions that are having different denominators.
Adding similar fractions is very easy since you only need to copy the denominator and add the numerators.
However, adding dissimilar fraction is different since you need to determine first the LCM or least common multiple of the denominators.
It's always better to reduce the fraction if possible before doing the addition.
\frac{2}{4}=\frac{1}{2}
4
2
=
2
1
\frac{1}{2}+\frac{1}{3}
2
1
+
3
1
Find the LCM of the denominators. The LCM is 6. Simply multiply the denominators.
Divide the LCM by the denominator of the first fraction, then multiply the result by the numerator and denominator of the first fraction.
6 \div2=36÷2=3
\frac{1}{2}\cdot\frac{3}{3}+\frac{1}{3}
2
1
⋅
3
3
+
3
1
Divide the LCM by the denominator of the second fraction, then multiply the result by the numerator and denominator of the second fraction.
6 \div3=26÷3=2
\frac{1}{2}\cdot\frac{3}{3}+\frac{1}{3}\cdot\frac{2}{2}
2
1
⋅
3
3
+
3
1
⋅
2
2
Simplify and add fractions.
\begin{gathered}\begin{aligned}\frac{1}{2}\cdot\frac{3}{3}+\frac{1}{3}\cdot\frac{2}{2}&=\frac{3}{6}+\frac{2}{6}\\&=\frac{5}{6}\end{aligned}\end{gathered}
2
1
⋅
3
3
+
3
1
⋅
2
2
=
6
3
+
6
2
=
6
5
#LetsStudy
To learn more about adding fractions, go to
brainly.ph/question/2177186
brainly.ph/question/6173467
brainly.ph/question/2310625