Find the value of each expression in lowest terms 1/5+9/20
Find the value of each expression in lowest terms 1/ 2 x 5/ 4
That's just fancy speak for "simplify the problem".
1/5 + 9/20 = 13/20 in it's simplest form
To find the value of the expression 1/5 + 9/20 in lowest terms, follow these steps:
Step 1: Find a common denominator for the fractions. The least common multiple (LCM) of 5 and 20 is 20.
Step 2: Rewrite both fractions with the common denominator of 20:
1/5 = 4/20 (multiply the numerator and denominator of 1/5 by 4)
9/20 (already with the common denominator)
Step 3: Add the numerators together and keep the denominator the same:
4/20 + 9/20 = (4 + 9)/20 = 13/20
Therefore, the value of the expression 1/5 + 9/20 in lowest terms is 13/20.
To find the sum of the two fractions 1/5 and 9/20 and express it in the lowest terms, you need to follow these steps:
Step 1: Find a common denominator.
- The denominators of the two fractions are 5 and 20, respectively.
- To find a common denominator, we need to find the least common multiple (LCM) of 5 and 20, which is 20.
Step 2: Convert both fractions to have the same denominator.
- Multiply the numerator and denominator of 1/5 by 4 to convert it to a fraction with a denominator of 20.
(1/5) x (4/4) = 4/20
- The fraction 9/20 already has the desired denominator, so no conversion is necessary.
Step 3: Add the two fractions together.
- Now that both fractions have a common denominator, we can add them together using the same denominator.
4/20 + 9/20 = 13/20
Step 4: Express the sum in the lowest terms.
- To express the fraction 13/20 in the lowest terms, find the greatest common divisor (GCD) of the numerator and denominator, and then divide both the numerator and denominator by the GCD.
- In this case, GCD(13, 20) = 1.
13/20 ÷ 1/1 = 13/20
Therefore, the value of the expression 1/5 + 9/20 in lowest terms is 13/20.