Add express each sum in simplest form 1 1/4 + 2 2/5
To add the sum 1 1/4 + 2 2/5, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
1 1/4 = (1 * 4 + 1)/4 = 5/4
2 2/5 = (2 * 5 + 2)/5 = 12/5
Step 2: Find a common denominator for the fractions.
The common denominator for 4 and 5 is 20.
Step 3: Adjust the fractions to have this common denominator.
(5/4) * (5/5) = 25/20
(12/5) * (4/4) = 48/20
Step 4: Add the adjusted fractions together.
25/20 + 48/20 = 73/20
Step 5: Simplify the resulting fraction, if possible.
The fraction 73/20 cannot be simplified any further.
Therefore, the sum 1 1/4 + 2 2/5 in simplest form is 73/20.
To add the mixed numbers 1 1/4 and 2 2/5, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
To convert 1 1/4 to an improper fraction, multiply the whole number (1) by the denominator (4) and add the numerator (1). The result is 5/4. Similarly, convert 2 2/5 to an improper fraction: 2 multiplied by 5 (the denominator) plus 2 gives us 12/5.
Step 2: Find a common denominator.
To add fractions, we need a common denominator for both fractions. In this case, the least common multiple (LCM) of 4 and 5 is 20. Therefore, we need to convert both fractions to have a denominator of 20.
Step 3: Convert the fractions to have the same denominator.
Multiply both the numerator and denominator of 5/4 by 5 to make the denominator 20. This gives us 25/20. Similarly, multiply both the numerator and denominator of 12/5 by 4 to get a denominator of 20. This results in 48/20.
Step 4: Add the fractions.
Now that we have both fractions with the same denominator, we can add them together. Adding 25/20 and 48/20 gives us 73/20.
Step 5: Simplify the fraction, if possible.
To simplify the fraction 73/20, find the greatest common divisor (GCD) of the numerator (73) and the denominator (20), which is 1. Divide both the numerator and denominator by the GCD to get the simplest form. In this case, the simplest form of 73/20 is 73/20 itself, as there are no common factors other than 1.
Therefore, the sum of 1 1/4 + 2 2/5 is 73/20.
1 1/4 = 1 5/20
2 2/5 = 2 8/20
What is the sum?