How to Solve 4 Divided by 1 1/3: the Complete Beginner’s Guide
You cannot cleanly divide fractions while whole numbers remain welded to fractional parts. The initial task in calculating 4 divided by 1 1/3 requires an improper fraction conversion. A mixed number represents an integer added to a proper fraction. Here, 1 1/3 denotes 1 whole plus 1/3 of another whole.
To turn this into a single fraction, multiply the whole number by the denominator and add the existing numerator. The denominator is 3, and the whole number is 1. Multiplying 1 by 3 yields 3. Adding the numerator of 1 produces 4. Placing this sum over the original denominator yields 4/3.
At the same time, express the initial whole number as a fraction. Any whole number sits over an invisible denominator of 1. Consequently, 4 becomes 4/1. The entire problem now reads as 4/1 divided by 4/3. Both values now speak the same mathematical dialect.