3 7 /9 divided by1 1 /5
To divide the fractions 3 7/9 by 1 1/5, we first need to convert the mixed numbers to improper fractions.
Step 1: Convert 3 7/9 to an improper fraction
3 × 9 = 27
27 + 7 = 34
The improper fraction for 3 7/9 is 34/9.
Step 2: Convert 1 1/5 to an improper fraction
1 × 5 = 5
5 + 1 = 6
The improper fraction for 1 1/5 is 6/5.
Now, we can divide 34/9 by 6/5.
Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction.
34/9 ÷ 6/5 = 34/9 × 5/6
Now, multiply the numerators and denominators:
34 × 5 = 170
9 × 6 = 54
Therefore, 34/9 ÷ 6/5 = 170/54.
Simplifying the fraction 170/54, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
170 ÷ 2 = 85
54 ÷ 2 = 27
Thus, 34/9 ÷ 6/5 is equivalent to 85/27.
simplify
To simplify 85/27, we can find the greatest common divisor (GCD) of the numerator and denominator and divide both by it.
The GCD of 85 and 27 is 1.
Dividing both the numerator and denominator by 1:
85 ÷ 1 = 85
27 ÷ 1 = 27
Therefore, 85/27 simplified is 85/27, as it is already in its simplest form.