What is 5/6 of 48? In fractions
What is 5/6 of 48? In fractions
The Correct Answer and Explanation is:
What is 5/6 of 48? (In Fractions)
Answer: 56 of 48=56×48=5×486=2406=40\frac{5}{6} \text{ of } 48 = \frac{5}{6} \times 48 = \frac{5 \times 48}{6} = \frac{240}{6} = 40
In fraction form, before simplifying, the answer is: 2406\frac{240}{6}
After simplifying, the answer is: 4040
Explanation
To find 5/6 of 48, you are essentially multiplying the fraction 56\frac{5}{6} by the whole number 48. This type of operation is common when applying fractions to quantities, such as finding portions of a total. The word “of” in mathematics usually means multiplication, so: 56 of 48=56×48\frac{5}{6} \text{ of } 48 = \frac{5}{6} \times 48
To carry out this multiplication, first multiply the numerator (the top of the fraction) by the whole number: 5×48=2405 \times 48 = 240
Then divide the result by the denominator (the bottom of the fraction): 2406\frac{240}{6}
Now simplify the fraction. Divide 240 by 6: 240÷6=40240 \div 6 = 40
So, 56\frac{5}{6} of 48 equals 40.
If you’re asked for the answer in fractions, you can express the unsimplified form 2406\frac{240}{6} as the answer, or show that it simplifies cleanly to the whole number 40.
This type of calculation is useful in real-life scenarios like budgeting, cooking, or splitting quantities. For example, if a recipe calls for 56\frac{5}{6} of a cup of sugar and you have a full cup (48 teaspoons), you would use 40 teaspoons.
Conceptually, fractions represent parts of a whole. Here, 56\frac{5}{6} means 5 parts out of 6 equal parts. So if you divide 48 into 6 equal parts (each part is 8), then 5 of those parts (5 × 8) gives you 40.
Understanding this helps build a strong foundation in both arithmetic and real-world problem-solving involving proportions and ratios.
