The procedure of dividing fractions necessitates the inversion of the second fraction (the divisor), transforming it into its reciprocal. Subsequently, the initial fraction (the dividend) is multiplied by this reciprocal. This method, often termed as "multiplying by the reciprocal," simplifies the task of fraction division into a more manageable operation, which is multiplication.
| Topic | Problem | Solution |
|---|---|---|
| None | 26. Be Precise A large bag contains $\frac{12}{15… | First, we need to determine how many \(\frac{1}{3}\)-pound bags can be filled with \(\frac{12}{15}\… |
| None | 2. What is the value of the expression $18.15 \di… | Convert the mixed number $-5 \frac{1}{2}$ to an improper fraction, which is $-5.5$ |
| None | Find the quotient. \[ -\frac{7}{6} \div\left(-\fr… | The division of two fractions can be solved by multiplying the first fraction by the reciprocal of … |
| None | 1. $\frac{3}{4} \div \frac{1}{12}=$ | First, we need to remember that dividing by a fraction is the same as multiplying by its reciprocal… |
| None | Seventh grade $>$ G.12 Divide fractions $X 7 \mat… | To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The r… |
| None | Seventh grade $>$ G.12 Divide fractions $\quad X … | To solve this problem, we need to remember that dividing by a number is the same as multiplying by … |
| None | $1 \frac{3}{4} \div 2$ | Convert the mixed number $1 \frac{3}{4}$ to an improper fraction. The formula to convert a mixed nu… |
| None | \[ \sqrt{\frac{1}{6} \div \frac{1}{6} \div \frac{… | First let's convert each division operation into multiplication by the reciprocal. So, \(\frac{1}{6… |
| None | $9-3 \div \frac{1}{3}+1=$ | The problem is asking for the result of the mathematical expression \(9-3 \div \frac{1}{3}+1\). |
| None | $\frac{5}{6} \div \frac{1}{3}=$ | \(\frac{5}{6} \div \frac{1}{3} = \frac{5}{6} \times \frac{3}{1}\) |
| None | \( 0 \div 9= \) \( \frac{0}{6}= \) | \( \frac{0}{9}=0 \) |
| None | Divide. \[ 2 \frac{1}{2} \div 1 \frac{1}{3} \] | 2 \frac{1}{2} = \frac{5}{2} |
| None | Find the quotient and simplify completely. \[ \fr… | \frac{9}{10} \times \frac{6}{7} |