Divide 321÷541,
and express your answer in the form of a fraction. 1 1/2 18 3/8 3/2 2/3 Question 7 Convert 3/8 to a percent. Do not include the % sign in your answer.
The Correct Answer and Explanation is:
Let’s break down the problem you’re asking about:
Step 1: Dividing Fractions
The first part of the question asks you to divide 312÷5143 \frac{1}{2} \div 5 \frac{1}{4}321÷541, and express the answer in the form of a fraction.
To solve this:
- Convert the mixed fractions to improper fractions:
- 312=723 \frac{1}{2} = \frac{7}{2}321=27
- 514=2145 \frac{1}{4} = \frac{21}{4}541=421
- Divide the two fractions:
To divide fractions, you multiply the first fraction by the reciprocal (inverse) of the second fraction: 72÷214=72×421\frac{7}{2} \div \frac{21}{4} = \frac{7}{2} \times \frac{4}{21}27÷421=27×214 - Multiply the fractions: 7×42×21=2842\frac{7 \times 4}{2 \times 21} = \frac{28}{42}2×217×4=4228
- Simplify the fraction:
2842=23\frac{28}{42} = \frac{2}{3}4228=32 (by dividing both the numerator and denominator by 14).
So, the correct answer is 23\frac{2}{3}32.
Step 2: Convert 38\frac{3}{8}83 to a Percent
To convert a fraction to a percent:
- Divide the numerator by the denominator: 38=0.375\frac{3}{8} = 0.37583=0.375
- Multiply the result by 100 to convert it to a percentage: 0.375×100=37.50.375 \times 100 = 37.50.375×100=37.5
Thus, 38\frac{3}{8}83 as a percent is 37.5.
Final Answers:
- For the division: 23\frac{2}{3}32
- For the percentage conversion: 37.5
