Find the quotient. $$ 0 . 5 \longdiv { 2 . 6 7 5 } $$

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UpStudy AI · Accepted Answer

To find the quotient of $$ 0.5 \div 2.675 $$, we can first convert the division into a more manageable form by eliminating the decimal points.

1. **Convert to whole numbers**: Multiply both the dividend and the divisor by 10 to eliminate the decimal in the dividend:
   $$
   0.5 \times 10 = 5
   $$
   $$
   2.675 \times 10 = 26.75
   $$
   So, we need to calculate:
   $$
   5 \div 26.75
   $$

2. **Convert to whole numbers again**: To eliminate the decimal in the divisor, multiply both the dividend and the divisor by 100:
   $$
   5 \times 100 = 500
   $$
   $$
   26.75 \times 100 = 2675
   $$
   Now we need to calculate:
   $$
   500 \div 2675
   $$

3. **Perform the division**: We can perform the division directly:
   $$
   500 \div 2675 \approx 0.1865
   $$

Thus, the quotient of $$ 0.5 \div 2.675 $$ is approximately $$ 0.1865 $$.
The quotient of $$ 0.5 \div 2.675 $$ is approximately $$ 0.1865 $$.

Find the quotient.

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