Calculate 3 1/4 divided by 1 1/2.

Convert to Improper Fractions: First, we need to convert the mixed numbers into improper fractions to make the division easier. For 3 1/4, multiply the whole number 3 by the denominator 4 and add the numerator 1 to get the new numerator. The denominator remains the same. 3 * 4 + 1 = 12 + 1 = 13 So, 3 1/4 becomes 13/4.Divide Improper Fractions: For 1 1/2, multiply the whole number 1 by the denominator 2 and add the numerator 1 to get the new numerator. The denominator remains the same. 1 * 2 + 1 = 2 + 1 = 3 So, 1 1/2 becomes 3/2.Perform Multiplication: Now, divide the improper fraction 13/4 by 3/2. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 3/2 is 2/3. So, we multiply 13/4 by 2/3.Simplify Fraction: Perform the multiplication: (13/4) * (2/3) = (13 * 2) / (4 * 3) = 26 / 12Convert to Mixed Number: Simplify the fraction 26/12 by dividing both the numerator and the denominator by their greatest common divisor, which is 2. 26 ÷ 2 = 13 12 ÷ 2 = 6 So, 26/12 simplifies to 13/6.Convert the improper fraction 13/6 back to a mixed number. 13 divided by 6 is 2 with a remainder of 1. So, 13/6 is equal to 2 1/6.

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Calculate $3 \frac{1}{4}$ divided by $1 \frac{1}{2}$ .

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Math Problems

Grade 6

Convert between improper fractions and mixed numbers

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Q. Calculate

3 \frac{1}{4}

divided by

1 \frac{1}{2}

Convert to Improper Fractions: First, we need to convert the mixed numbers into improper fractions to make the division easier. $\newline$ For $3\frac{1}{4}$ , multiply the whole number $3$ by the denominator $4$ and add the numerator $1$ to get the new numerator. The denominator remains the same. $\newline$ $3 \times 4 + 1 = 12 + 1 = 13$ $\newline$ So, $3\frac{1}{4}$ becomes $\frac{13}{4}$ .
Divide Improper Fractions: For $1\frac{1}{2}$ , multiply the whole number $1$ by the denominator $2$ and add the numerator $1$ to get the new numerator. The denominator remains the same. $\newline$ $1 \times 2 + 1 = 2 + 1 = 3$ $\newline$ So, $1\frac{1}{2}$ becomes $\frac{3}{2}$ .
Perform Multiplication: Now, divide the improper fraction $\frac{13}{4}$ by $\frac{3}{2}$ . To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. $\newline$ The reciprocal of $\frac{3}{2}$ is $\frac{2}{3}$ . $\newline$ So, we multiply $\frac{13}{4}$ by $\frac{2}{3}$ .
Simplify Fraction: Perform the multiplication: $\newline$ egin{equation} $\newline$ \left(\frac{ $13$ }{ $4$ }\right) * \left(\frac{ $2$ }{ $3$ }\right) = \left(\frac{ $13$ * $2$ }{ $4$ * $3$ }\right) = \frac{ $26$ }{ $12$ } $\newline$ d{equation}
Convert to Mixed Number: Simplify the fraction $\frac{26}{12}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $26 \div 2 = 13$ $\newline$ $12 \div 2 = 6$ $\newline$ So, $\frac{26}{12}$ simplifies to $\frac{13}{6}$ .
Convert to Mixed Number: Simplify the fraction $\frac{26}{12}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $26 \div 2 = 13$ $\newline$ $12 \div 2 = 6$ $\newline$ So, $\frac{26}{12}$ simplifies to $\frac{13}{6}$ .Convert the improper fraction $\frac{13}{6}$ back to a mixed number. $\newline$ $13$ divided by $6$ is $2$ with a remainder of $2$ $0$ . $\newline$ So, $\frac{13}{6}$ is equal to $2$ $2$ .