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How do you simplify #(5y)/14+3/7#?

Answer 1

Abigail Allen

#(5y +6)/14#

#(5y)/14+3/7" "# find the LCD and make equivalent fractions

#LCD = 14#

#(5y)/14+(3xx2)/(7xx2)#

#(5y +6)/14#

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Answer 2

Genesis Allen

To simplify (5y)/14 + 3/7, we need to find a common denominator. The common denominator is 14.

To make the first fraction have a denominator of 14, we multiply the numerator and denominator by 2: (5y * 2) / (14 * 2) = (10y) / 28.

To make the second fraction have a denominator of 14, we multiply the numerator and denominator by 2: (3 * 2) / (7 * 2) = 6 / 14.

Now we can add the fractions: (10y/28) + (6/14).

To add the fractions, we need to have the same denominator. The common denominator is 28.

To make the second fraction have a denominator of 28, we multiply the numerator and denominator by 2: (6 * 2) / (14 * 2) = 12 / 28.

Now we can add the fractions: (10y/28) + (12/28) = (10y + 12) / 28.

Therefore, the simplified form of (5y)/14 + 3/7 is (10y + 12) / 28.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.