4 3/5 * 1 1/5 = ?
Understand the Problem
The question asks to multiply two mixed numbers: 4 3/5 and 1 1/5. This requires converting the mixed numbers to improper fractions, multiplying the fractions, and then simplifying the result.
Answer
$5\frac{13}{25}$
Answer for screen readers
$5\frac{13}{25}$
Steps to Solve
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Convert the mixed numbers to improper fractions To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. Then, place the result over the original denominator. $$ 4\frac{3}{5} = \frac{(4 \times 5) + 3}{5} = \frac{20 + 3}{5} = \frac{23}{5} $$ $$ 1\frac{1}{5} = \frac{(1 \times 5) + 1}{5} = \frac{5 + 1}{5} = \frac{6}{5} $$
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Multiply the improper fractions Multiply the numerators together and the denominators together: $$ \frac{23}{5} \times \frac{6}{5} = \frac{23 \times 6}{5 \times 5} = \frac{138}{25} $$
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Convert the improper fraction to a mixed number Divide the numerator by the denominator to find the whole number part and the remainder. The whole number part is the number of times the denominator goes into the numerator. The remainder is the new numerator, and the denominator stays the same. $$ \frac{138}{25} $$ $138 \div 25 = 5$ with a remainder of $13$. Thus, $$ \frac{138}{25} = 5\frac{13}{25} $$
$5\frac{13}{25}$
More Information
The final result is $5\frac{13}{25}$. Since 13 is a prime number, and 13 is not a factor of 25, the fraction $\frac{13}{25}$ cannot be simplified any further.
Tips
A common mistake is forgetting to convert the mixed numbers to improper fractions before multiplying. Another common mistake is making errors in multiplication or division during the conversion process. Always double-check your calculations!
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