Simplify: (3/5) + (7/10)

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Multiple Choice

Simplify: (3/5) + (7/10)

Explanation:
To simplify the expression (3/5) + (7/10), it is important to have a common denominator for the fractions in order to add them accurately. The denominators in this case are 5 and 10. The lowest common denominator (LCD) for these fractions is 10. Next, we can convert (3/5) into a fraction with the denominator of 10. To do this, we multiply the numerator and the denominator of (3/5) by 2: (3/5) × (2/2) = (6/10) Now we can rewrite the expression: (6/10) + (7/10) With both fractions sharing a common denominator, we can now add them: (6 + 7) / 10 = 13 / 10 To express 13/10 as a decimal, we divide 13 by 10, which results in 1.3. This decimal aligns exactly with one of the choices provided in the question. Thus, the correct simplified form of (3/5) + (7/10) is 1.3.

To simplify the expression (3/5) + (7/10), it is important to have a common denominator for the fractions in order to add them accurately. The denominators in this case are 5 and 10. The lowest common denominator (LCD) for these fractions is 10.

Next, we can convert (3/5) into a fraction with the denominator of 10. To do this, we multiply the numerator and the denominator of (3/5) by 2:

(3/5) × (2/2) = (6/10)

Now we can rewrite the expression:

(6/10) + (7/10)

With both fractions sharing a common denominator, we can now add them:

(6 + 7) / 10 = 13 / 10

To express 13/10 as a decimal, we divide 13 by 10, which results in 1.3. This decimal aligns exactly with one of the choices provided in the question. Thus, the correct simplified form of (3/5) + (7/10) is 1.3.

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