Answer: 1/3
Multiply
1×2=2
5×3=15
= 2/15
2×1=2
5×2=10
= 2/10
Simplify
2/5 = 2/15
2/10 = 1/5
Add
2/15 + 1/5 = 1/3
Answer:
[tex] \boxed{ \huge{ \boxed{ \bold{ \sf{ \blue{ \frac{1}{3} }}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{1}{5} \times \frac{2}{3} + \frac{2}{5} \times \frac{1}{2} }[/tex]
Multiply the fractions
⇒[tex] \sf{ \frac{1 \times 2}{5 \times 3} + \frac{2 \times 1}{5 \times 2} }[/tex]
⇒[tex] \sf{ \frac{2}{15} + \frac{2}{10} }[/tex]
Take the L.C.M of 15 and 10
⇒[tex] \sf{ \frac{2 \times 2 + 2 \times 3}{30} }[/tex]
Multiply the numbers
⇒[tex] \sf{ \frac{4 + 6}{30} }[/tex]
Add the numbers
⇒[tex] \sf{ \frac{10}{30} }[/tex]
Reduce the numbers with 10
⇒[tex] \sf{ \frac{1}{3} }[/tex]
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How can we find the L.C.M ( Least Common Multiple )?
https://brainly.com/question/17208712
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Hope I helped!
Best regards!
