what is 1 7/9-4/9
express the answer in simplest form
7 - 4 = 3
1 7/9 = 4/9 = 1 3/9 = 1 1/3
7/4x10/9
To subtract two mixed numbers, such as 1 7/9 and 4/9, we first need to convert them into improper fractions.
1 7/9 can be rewritten as an improper fraction by multiplying the whole number (1) by the denominator (9) and adding the numerator (7), then placing this result over the denominator.
1 7/9 = (1 × 9 + 7)/9 = 16/9
Now we have 16/9 - 4/9.
To subtract fractions with the same denominator, we subtract the numerators and keep the denominator the same.
16/9 - 4/9 = (16 - 4)/9 = 12/9
Since 12 and 9 both have a common factor of 3, we can simplify the fraction by dividing both the numerator and denominator by 3.
12/9 = (12 ÷ 3)/(9 ÷ 3) = 4/3
Therefore, 1 7/9 - 4/9 expressed in simplest form is 4/3.