The mixed fraction \(5\tfrac{4}{7}\) can be expressed as
\(33/7\)
\(39/7\)
\(33/4\)
\(39/4\)
A mixed fraction has a whole number and a proper fraction.
We want to change (5 rac{4}{7}) into an improper fraction.
Step 1: Multiply the whole number by the denominator.
(5 imes 7 = 35)
Step 2: Add the numerator.
(35 + 4 = 39)
Step 3: Keep the same denominator.
So the numerator is (39) and the denominator is (7).
Result: (dfrac{39}{7})
Quick check: (39 div 7 = 5) remainder (4), which is (5 rac{4}{7}). Correct.