First find an estimate of the quotient. then find the exact quotient.
5 1/2 divide 3 4/7
you have to convert your numbers into improper fractions, then reverse your 2nd fractions denominator and numerator (so turning the numerator into your denominator) and then multiplying
2 2/9 / 5 1/3
To find the estimate of the quotient, you can use rounding.
Step 1: Convert the mixed numbers to improper fractions.
5 1/2 as an improper fraction is (5 * 2 + 1) / 2 = 11/2.
3 4/7 as an improper fraction is (3 * 7 + 4) / 7 = 25/7.
Step 2: Divide the numerator of the first fraction by the numerator of the second fraction and the denominator of the first fraction by the denominator of the second fraction.
11/2 ÷ 25/7 becomes (11/2) ÷ (25/7).
Step 3: Flip the second fraction by finding its reciprocal.
(11/2) ÷ (25/7) becomes (11/2) * (7/25).
Step 4: Perform the multiplication.
(11/2) * (7/25) = (11*7) / (2*25) = 77/50.
The estimate of the quotient is 77/50.
To find the exact quotient, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
5 1/2 as an improper fraction is (5 * 2 + 1) / 2 = 11/2.
3 4/7 as an improper fraction is (3 * 7 + 4) / 7 = 25/7.
Step 2: Divide the numerator of the first fraction by the numerator of the second fraction and the denominator of the first fraction by the denominator of the second fraction.
11/2 ÷ 25/7 becomes (11/2) ÷ (25/7).
Step 3: Flip the second fraction by finding its reciprocal.
(11/2) ÷ (25/7) becomes (11/2) * (7/25).
Step 4: Perform the multiplication.
(11/2) * (7/25) = (11*7) / (2*25) = 77/50.
So, the exact quotient is 77/50.