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Verified Answer :

7/10

Because you have to have a least common denominator which is 10. and what you do to the bottom you have to do to the top you muct do to the bottom. So Therefore Multiply 5 by 2 to get 10 and do the same to the 2, the 2 will become 4. add the 4 and the 3 to get 7 over 10

candystarlover4

Step 1. Find the Least Common Denominator (LCD) of \(\frac{2}{5} , \frac{3}{10}\)

Method 1: By Listing Multiples
List out all multiples of each denominator, and find the first common one.

Multiples of 5: 5, 10.....

Multiples of 10: 10,.....

Therefore, The (LCD) is 10.

Method 2: By Prime Factors.
List all prime factors of each denominator, and find the union of these primes.

Prime factors of 5: 5

Prime factors of 10: 2, 5

Therefore, the LCD is \(2*5=10\)

LCD = 10

Step 2. Make the denominators the same as the LCD

\(\frac{2*2}{5*2} + \frac{3}{10}\)

Step 3. Simplify. Denominators are now the same

\(\frac{4}{10} + \frac{3}{10}\)

Step 4. Join the denominators

\(\frac{4+3}{10}\)

Step 5. Simplify

\(\frac{7}{10}\)

Done! :)

Decimal Form If Needed: 0.7