4/3 - 2/5 in fraction
Understand the Problem
The question is asking us to perform a subtraction operation on two fractions, specifically to calculate 4/3 minus 2/5 and express the result as a fraction.
Answer
The final answer is $\frac{14}{15}$.
Answer for screen readers
The result of the subtraction is $\frac{14}{15}$.
Steps to Solve
- Find a common denominator
To subtract the fractions $\frac{4}{3}$ and $\frac{2}{5}$, we need to find a common denominator. The denominators here are 3 and 5. The least common multiple (LCM) of 3 and 5 is 15.
- Convert the fractions
Next, we convert each fraction to have the common denominator of 15:
For $\frac{4}{3}$: $$ \frac{4}{3} = \frac{4 \times 5}{3 \times 5} = \frac{20}{15} $$
For $\frac{2}{5}$: $$ \frac{2}{5} = \frac{2 \times 3}{5 \times 3} = \frac{6}{15} $$
- Perform the subtraction
Now that both fractions have the same denominator, we can perform the subtraction:
$$ \frac{20}{15} - \frac{6}{15} = \frac{20 - 6}{15} = \frac{14}{15} $$
The result of the subtraction is $\frac{14}{15}$.
More Information
The result $\frac{14}{15}$ is in its simplest form, indicating that the subtraction of the two fractions has been carried out correctly. This fraction represents a little under one unit.
Tips
- Not finding a common denominator: Always remember to convert to a common denominator before performing operations on fractions.
- Subtracting numerators only: Make sure to subtract the numerators only after the fractions are converted to have the same denominator.
