Question

find the sum of the following:

1. \\(4 \frac{12}{20} + \frac{17}{25} =\\) ________

Explanation:

Simplify the fractional part

We simplify the fraction in the mixed number.

$$ \frac{12}{20} = \frac{12 \div 4}{20 \div 4} = \frac{3}{5} $$

The mixed number becomes:

$$ 4 \frac{3}{5} $$

Find a common denominator

We find the least common denominator for the fractions.
The denominators are \(5\) and \(25\).
The least common multiple of \(5\) and \(25\) is \(25\).

Convert to equivalent fractions

We convert the first fraction to have the denominator \(25\).

$$ \frac{3}{5} = \frac{3 \times 5}{5 \times 5} = \frac{15}{25} $$

The mixed number is now:

$$ 4 \frac{15}{25} $$

Add the fractions and whole numbers

We add the fractional parts together.

$$ \frac{15}{25} + \frac{17}{25} = \frac{32}{25} $$

Convert this improper fraction to a mixed number.

$$ \frac{32}{25} = 1 \frac{7}{25} $$

Combine with the whole number

We add the whole number part to our result.

$$ 4 + 1 \frac{7}{25} = 5 \frac{7}{25} $$

Answer:

Find the sum of the following:

1. \(4 \frac{12}{20} + \frac{17}{25} =\) <blank>\(5 \frac{7}{25}\)</blank>