7/15 - 2/5=
7/15 - 2/5=
7/15 - 6/15 = 1/15
Show me how?
You need a common denominator to add and subtract fractions.
15 is the common denominator.
15/5 = 3
2 * 3 = 6
7 - 6 = 1
To subtract two fractions, you need to have a common denominator. In this case, the denominators are 15 and 5. The least common multiple of 15 and 5 is 15. To make the denominators the same, you need to convert both fractions to have a denominator of 15.
Starting with 7/15, to change the denominator to 15, you need to multiply both the numerator and denominator by 3, as 3 x 5 = 15. So, 7/15 becomes (7 x 3) / (15 x 3) = 21/45.
Next, 2/5 needs to be converted to have a denominator of 15. To change the denominator to 15, you need to multiply both the numerator and denominator by 3, as 3 x 5 = 15. So, 2/5 becomes (2 x 3) / (5 x 3) = 6/15.
Now that both fractions have a common denominator of 15, you can subtract them. 21/45 - 6/15 = (21 - 6) / 45 = 15/45.
Finally, simplify the resulting fraction by dividing both the numerator and denominator by their greatest common divisor, which in this case is 15. 15/45 can be simplified to 1/3.
Therefore, 7/15 - 2/5 = 1/3.