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.

The decimal equivalent of $\frac{3}{4}$ is $0.75$.

The decimal equivalent of $\frac{3}{4}$ is $0.75$.

Steps to Solve

1. Set Up the Division We need to divide the numerator (3) by the denominator (4). This means we will calculate $3 \div 4$.

2. 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 $30 \div 4$.

3. 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.

4. 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: $20 \div 4$.

5. 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.

6. 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 $0.75$.

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.