II. Divide the following fractions. Reduce to lowest tern
number.
6. I
7.
8.

Ask by Frank Warren. in the United States

Mar 20,2025

Question

II. Divide the following fractions. Reduce to lowest tern number. 6. $$ \frac{1}{8} \div \frac{1}{4}= $$ I 7. $$ \frac{3}{12} \div \frac{6}{7}=7 / 24 $$ 8. $$ \frac{1}{6} \div 15= $$

UpStudy AI · Accepted Answer

Let's solve each of the division problems step by step.

### Problem 6: $$ \frac{1}{8} \div \frac{1}{4} $$

To divide fractions, we multiply by the reciprocal of the second fraction:

$$
\frac{1}{8} \div \frac{1}{4} = \frac{1}{8} \times \frac{4}{1}
$$

Now, let's calculate this:

$$
\frac{1 \times 4}{8 \times 1} = \frac{4}{8}
$$

Now, we can reduce $$ \frac{4}{8} $$ to its lowest terms:

$$
\frac{4}{8} = \frac{1}{2}
$$

### Problem 7: $$ \frac{3}{12} \div \frac{6}{7} $$

Again, we multiply by the reciprocal of the second fraction:

$$
\frac{3}{12} \div \frac{6}{7} = \frac{3}{12} \times \frac{7}{6}
$$

Now, let's calculate this:

$$
\frac{3 \times 7}{12 \times 6} = \frac{21}{72}
$$

Now, we can reduce $$ \frac{21}{72} $$ to its lowest terms. The greatest common divisor (GCD) of 21 and 72 is 3:

$$
\frac{21 \div 3}{72 \div 3} = \frac{7}{24}
$$

### Problem 8: $$ \frac{1}{6} \div 15 $$

To divide by a whole number, we can convert it to a fraction:

$$
\frac{1}{6} \div 15 = \frac{1}{6} \div \frac{15}{1} = \frac{1}{6} \times \frac{1}{15}
$$

Now, let's calculate this:

$$
\frac{1 \times 1}{6 \times 15} = \frac{1}{90}
$$

### Summary of Results:
1. $$ \frac{1}{8} \div \frac{1}{4} = \frac{1}{2} $$
2. $$ \frac{3}{12} \div \frac{6}{7} = \frac{7}{24} $$ (as given)
3. $$ \frac{1}{6} \div 15 = \frac{1}{90} $$
- $$ \frac{1}{8} \div \frac{1}{4} = \frac{1}{2} $$ - $$ \frac{3}{12} \div \frac{6}{7} = \frac{7}{24} $$ - $$ \frac{1}{6} \div 15 = \frac{1}{90} $$

II. Divide the following fractions. Reduce to lowest tern
number.
6. I
7.
8.

Upstudy AI Solution

Answer

Solution

Extra Insights

Related Questions

Latest Arithmetic Questions

II. Divide the following fractions. Reduce to lowest tern number. 6. I 7. 8.

Upstudy AI Solution

Answer

Solution

Extra Insights

Related Questions

Latest Arithmetic Questions

II. Divide the following fractions. Reduce to lowest tern
number.
6. I
7.
8.