Question
\( 3 \frac{1}{4} \times \frac{1}{4}=\square \) Submil
Ask by Pena Nguyen. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 3 \frac{1}{4} \times \frac{1}{4} = \frac{13}{16} \) or 0.8125
Solution
Calculate or simplify the expression \( 3\frac{1}{4} \times \frac{1}{4} \).
Calculate the value by following steps:
- step0: Calculate:
\(3\frac{1}{4}\times \frac{1}{4}\)
- step1: Convert the expressions:
\(\frac{13}{4}\times \frac{1}{4}\)
- step2: Multiply the fractions:
\(\frac{13}{4\times 4}\)
- step3: Multiply:
\(\frac{13}{16}\)
The result of \(3 \frac{1}{4} \times \frac{1}{4}\) is \(\frac{13}{16}\) or 0.8125.
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
To solve \( 3 \frac{1}{4} \times \frac{1}{4} \), first convert the mixed number into an improper fraction: \( 3 \frac{1}{4} = \frac{13}{4} \). Then, multiply: \( \frac{13}{4} \times \frac{1}{4} = \frac{13 \times 1}{4 \times 4} = \frac{13}{16} \). So, \( 3 \frac{1}{4} \times \frac{1}{4} = \frac{13}{16} \). Multiplying mixed numbers and fractions can sometimes lead to confusion. A common mistake is forgetting to convert the mixed number to an improper fraction first. Always remember to simplify your fractions if possible!