3/4 cup in decimals
Understand the Problem
The question is asking to convert the fraction 3/4 into its decimal equivalent. To do this, we will divide 3 by 4 to get the decimal representation.
Answer
The decimal equivalent of $\frac{3}{4}$ is $0.75$.
Answer for screen readers
The decimal equivalent of $\frac{3}{4}$ is $0.75$.
Steps to Solve
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Set Up the Division We need to divide the numerator (3) by the denominator (4). This means we will calculate $3 \div 4$.
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Perform the Division When we divide 3 by 4, we see that 4 cannot go into 3. Instead, we can express this as a decimal. We can put a decimal point and add a zero to make it 30, so we will actually calculate $30 \div 4$.
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Calculate the Quotient Now we find how many times 4 fits into 30. 4 goes into 30 a total of 7 times because $4 \times 7 = 28$. We will then subtract 28 from 30, leaving us with a remainder of 2.
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Bring Down the Next Zero Next, we bring down another zero (making it 20 since we previously had a remainder of 2) and divide again: $20 \div 4$.
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Finish the Division 4 goes into 20 exactly 5 times because $4 \times 5 = 20$. We have no remainder, and the decimal representation of the fraction is complete.
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Combine the Results Now we will combine the results of our division: we had 0 before starting with the decimal point, then 7, and finally 5 after the decimal point. Thus, the decimal equivalent of $\frac{3}{4}$ is 0.75.
The decimal equivalent of $\frac{3}{4}$ is $0.75$.
More Information
Dividing numbers in a fraction can easily be converted to decimal form. In this case, $\frac{3}{4}$ gives us a repeating decimal when calculated either long-hand or with a calculator. Additionally, fractions of 2, 4, and other divisors are often encountered in everyday calculations, making this conversion useful.
Tips
- Confusing the order of division and getting incorrect results. Make sure to divide the numerator by the denominator in the correct order.
- Forgetting to add the decimal when extending the division to include whole numbers.
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