Evaluate the expression shown below and write your answer as a fraction in simplest form. start fraction, 3, divided by, 5, end fraction, plus, one eigth 5 3 + 8 1
To add fractions, we need a common denominator. In this case, the common denominator is 40 since 5 and 8 both divide into it evenly.
To convert 3 into the terms of the common denominator, we multiply the numerator and denominator by 8:
3/5 * 8/8 = 24/40
To convert 1/8 into the terms of the common denominator, we multiply the numerator and denominator by 5:
1/8 * 5/5 = 5/40
Now we can add the fractions:
24/40 + 5/40 = 29/40
So, the expression simplifies to 29/40.
To evaluate the expression and write the answer as a fraction in simplest form, we can follow these steps:
Step 1: Simplify the fractions individually if possible.
- The first fraction, 3/5, is already in simplest form.
Step 2: Find a common denominator for the two fractions.
- The denominators are 5 and 8. The least common multiple of 5 and 8 is 40.
Step 3: Convert the fractions so they have the same denominator.
- Multiply the numerator and denominator of 3/5 by 8 to get the equivalent fraction: (3/5) * (8/8) = 24/40
- Keep the second fraction, 8/1, as it is since 1 is already a factor of 40.
Step 4: Add the two fractions together.
- 24/40 + 8/40 = 32/40
Step 5: Simplify the resulting fraction.
- The greatest common divisor of 32 and 40 is 8. Divide both the numerator and denominator of 32/40 by 8 to simplify: (32/40) ÷ (8/8) = 4/5
Therefore, the simplified result of the expression 3/5 + 8/1 is 4/5.
To evaluate the given expression, we need to follow these steps:
Step 1: Simplify the fractions individually.
Start fraction, 3, divided by, 5, end fraction simplifies to 3/5.
Step 2: Add the two simplified fractions together.
3/5 + 8/1
Step 3: Find a common denominator for the fractions.
In this case, the common denominator is 5.
Step 4: Rewrite each fraction with the common denominator.
3/5 + 40/5
Step 5: Combine the fractions by adding the numerators and keeping the same denominator.
(3 + 40)/5 = 43/5
Therefore, the expression 3/5 + 8/1 simplifies to 43/5.