1(5)/(20)+1(1)/(5)

Question

1(5)/(20)+1(1)/(5)

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Convert to Improper Fractions: Convert the mixed numbers to improper fractions. 1(5/20) can be converted to an improper fraction by multiplying the whole number by the denominator and adding the numerator: (1 × 20) + 5 = 25, so we have 25/20. Similarly, 1(1/5) can be converted to an improper fraction by multiplying the whole number by the denominator and adding the numerator: (1 × 5) + 1 = 6, so we have 6/5.Simplify Fractions: Simplify the fractions if possible. 25/20 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 5: 25 ÷ 5 = 5 and 20 ÷ 5 = 4, so we have 5/4. 6/5 is already in simplest form.Find Common Denominator: Find a common denominator for the fractions 5/4 and 6/5. The least common denominator (LCD) for 4 and 5 is 20.Convert to Common Denominator: Convert each fraction to an equivalent fraction with the common denominator of 20. 5/4 is converted to (5 × 5)/(4 × 5) = 25/20. 6/5 is converted to (6 × 4)/(5 × 4) = 24/20.Add Fractions: Add the fractions with the common denominator. 25/20 + 24/20 = (25 + 24)/20 = 49/20.Convert to Mixed Number: Convert the improper fraction back to a mixed number if possible. 49/20 is an improper fraction. To convert it to a mixed number, divide the numerator by the denominator: 49 ÷ 20 = 2 with a remainder of 9. So, 49/20 as a mixed number is 2(9/20).

$1 \frac{5}{20}+1 \frac{1}{5}$

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$1 \frac{5}{20}+1 \frac{1}{5}$