Questions: Addition or subtraction of fractions with the same denominator Add. Write your answer as a fraction in simplest form. 7/10 + 1/10

$Addition or subtraction of fractions with the same denominator Add. Write your answer as a fraction in simplest form. 7/10 + 1/10$

Transcript text: Addition or subtraction of fractions with the same denominator Add. Write your answer as a fraction in simplest form. \[ \frac{7}{10}+\frac{1}{10} \]

Solution

Solution Steps

Step 1: Identify the Denominator

The given fractions are $\frac{7}{10}$ and $\frac{1}{10}$. Both fractions have the same denominator, which is 10.

Step 2: Add the Numerators

Since the denominators are the same, we can add the numerators directly:

\[ 7 + 1 = 8 \]

Step 3: Write the Resulting Fraction

The resulting fraction after adding the numerators is:

\[ \frac{8}{10} \]

Step 4: Simplify the Fraction

To simplify $\frac{8}{10}$, we find the greatest common divisor (GCD) of 8 and 10, which is 2. Divide both the numerator and the denominator by 2:

\[ \frac{8 \div 2}{10 \div 2} = \frac{4}{5} \]

Final Answer

The simplified form of the sum is:

\[ \boxed{\frac{4}{5}} \]

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