Add. Write your answer as a fraction or as a whole or mixed number. 4 5/8 + 10 =

To add the mixed number ( 4 frac{5}{8} ) and the whole number ( 10 ), follow these steps:

1. First, convert the mixed number to an improper fraction.

– Multiply the whole number (4) by the denominator (8): ( 4 times 8 = 32 ).

– Add the numerator (5): ( 32 + 5 = 37 ).

– So, ( 4 frac{5}{8} ) becomes ( frac{37}{8} ).

2. Convert the whole number ( 10 ) to a fraction with the same denominator (8).

– ( 10 = frac{10 times 8}{8} = frac{80}{8} ).

3. Now add the two fractions:

– ( frac{37}{8} + frac{80}{8} = frac{37 + 80}{8} = frac{117}{8} ).

4. Convert ( frac{117}{8} ) back to a mixed number.

– Divide ( 117 ) by ( 8 ) which gives ( 14) with a remainder of ( 5 ).

– So, ( frac{117}{8} = 14 frac{5}{8} ).

Therefore, the final answer is ( 14 frac{5}{8