Add/subtract the fractions in the lowest terms 30-7 9/15

Answer 1

To subtract these fractions, we first need to find a common denominator. In this case, we can use 15 as the common denominator.

30 - 7 9/15

To change the mixed number 7 9/15 into an improper fraction, we multiply the whole number (7) by the denominator of the fraction (15) and then add the numerator (9). This gives us 7*15 + 9 = 105 + 9 = 114.

So, the expression becomes:

30 - 114/15

To subtract fractions, the denominators must be the same. We can convert 30 into a fraction with denominator 15 by multiplying both the numerator and denominator by 15.

30/1 * 15/15 = 450/15

Now, we can subtract the fractions:

450/15 - 114/15

To subtract the fractions, we subtract the numerators and keep the same denominator:

(450 - 114)/15 = 336/15

To simplify this fraction, we can find the greatest common divisor (GCD) of 336 and 15, which is 3. Dividing both the numerator and denominator by 3, we get:

336/15 = 112/5

Therefore, the expression 30 - 7 9/15 is equal to 112/5 in its lowest terms.