Express the following decimals as a fraction. 4.33/0.05
The Correct Answer and Explanation is:
✅ Step-by-Step Calculation:
We begin with:4.330.05\frac{4.33}{0.05}0.054.33
To simplify division with decimals, multiply both numerator and denominator by 100 to eliminate the decimals:4.33×1000.05×100=4335\frac{4.33 \times 100}{0.05 \times 100} = \frac{433}{5}0.05×1004.33×100=5433
So the final fraction is:4335\boxed{\frac{433}{5}}5433
📘 Explanation
When working with decimals and converting them into fractions, it’s often easiest to eliminate the decimals by multiplying both the numerator and the denominator by a power of 10. In this case, both 4.33 and 0.05 have decimals, so we can multiply both by 100 to shift the decimal point two places to the right.
Multiplying 4.33 by 100 gives us 433, and multiplying 0.05 by 100 gives us 5. This transforms our original expression from:4.330.05\frac{4.33}{0.05}0.054.33
into:4335\frac{433}{5}5433
This fraction is already in its simplest form because the numerator (433) and the denominator (5) share no common factors other than 1. That means it is a reduced proper fraction, even though it is improper (the numerator is greater than the denominator). Improper fractions are perfectly acceptable in mathematics, although they can also be expressed as mixed numbers. If we wanted to express 4335\frac{433}{5}5433 as a mixed number, we would perform division:433÷5=86 remainder 3433 \div 5 = 86 \text{ remainder } 3433÷5=86 remainder 3
So:4335=8635\frac{433}{5} = 86 \frac{3}{5}5433=8653
This shows that dividing 4.33 by 0.05 results in 86.6, which corresponds exactly to the mixed number form 863586 \frac{3}{5}8653. Converting decimals to fractions helps reinforce the relationship between different numerical representations, which is especially useful in algebra, measurements, and real-world problem solving.
