Ward Collins
10/03/2023 · Primary School
Which one has its result equal to \( 1 ? \) \[ \begin{array}{l}\frac{9}{8} \div \frac{81}{64} \\ \frac{3}{3} \div 6 \frac{2}{12} \\ 4\end{array} \] \[ \]
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find which expression has a result equal to 1, we need to simplify each expression and check if the result is 1.
1. \(\frac{9}{8} \div \frac{81}{64}\):
- Simplify the division by multiplying by the reciprocal of the divisor:
\(\frac{9}{8} \div \frac{81}{64} = \frac{9}{8} \times \frac{64}{81}\)
- Multiply the numerators and denominators:
\(\frac{9}{8} \times \frac{64}{81} = \frac{9 \times 64}{8 \times 81} = \frac{576}{648}\)
- Simplify the fraction:
\(\frac{576}{648} = \frac{8}{9}\)
2. \(\frac{3}{3} \div 6 \frac{2}{12}\):
- Convert the mixed number to an improper fraction:
\(6 \frac{2}{12} = \frac{6 \times 12 + 2}{12} = \frac{74}{12}\)
- Simplify the division by multiplying by the reciprocal of the divisor:
\(\frac{3}{3} \div \frac{74}{12} = \frac{3}{3} \times \frac{12}{74}\)
- Multiply the numerators and denominators:
\(\frac{3}{3} \times \frac{12}{74} = \frac{3 \times 12}{3 \times 74} = \frac{36}{222}\)
- Simplify the fraction:
\(\frac{36}{222} = \frac{6}{37}\)
3. \(4\):
- The result is already 4.
Therefore, the expression that has a result equal to 1 is \(4\).
Quick Answer
The expression that equals 1 is \(4\).
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit