Fraction to Decimal Calculator

This calculator converts a fraction into a decimal using long division. It shows the working and gives the answer to up to 2 digits after the decimal. If the division finishes early, it stops early.

Step-by-step method

1. Step 1 (Set up): Set up the long-division box: the denominator goes outside, the numerator goes inside, and the decimal answer will be written on top.
2. Step 2 (Repeat the long-division cycle): Work from left to right. If the denominator does not fit yet, include the next digit until it does. Write the quotient digit on top. Multiply (denominator × that digit) and write it underneath, then subtract to get a remainder. Bring down the next digit and repeat. When you run out of digits, place a decimal point in the quotient and bring down 0s to get decimal digits. This calculator shows up to 2 digits after the decimal and stops early if the remainder becomes 0.

Example 1: 4/3

Step 1 (Set up) - Set up the long-division box: the denominator goes outside, the numerator goes inside, and the decimal answer will be written on top.

In this problem: We divide 4 by 3.

Step 2 (Repeat the long-division cycle) - Work from left to right. If the denominator does not fit yet, include the next digit until it does. Write the quotient digit on top. Multiply (denominator × that digit) and write it underneath, then subtract to get a remainder. Bring down the next digit and repeat. When you run out of digits, place a decimal point in the quotient and bring down 0s to get decimal digits. This calculator shows up to 2 digits after the decimal and stops early if the remainder becomes 0.

In this problem: We start with the first digit 4 because it is big enough to divide by 3. Then we repeat: divide, multiply, subtract, bring down. After we run out of digits, we bring down 0s for decimals (up to 2).

Step 2a (Work) - Divide, multiply, and subtract.

In this problem: We look at 4. 3 fits 1 time. Multiply: 3 × 1 = 3. Subtract: 4 − 3 = 1.

Step 2b (Bring down 0) - Bring down 0 after the decimal.

In this problem: We bring down 0 to make 10.

Step 2c (Work) - Divide, multiply, and subtract.

In this problem: We look at 10. 3 fits 3 times. Multiply: 3 × 3 = 9. Subtract: 10 − 9 = 1.

Step 2d (Bring down 0) - Bring down 0 after the decimal.

In this problem: We bring down 0 to make 10.

Step 2e (Work) - Divide, multiply, and subtract.

In this problem: We look at 10. 3 fits 3 times. Multiply: 3 × 3 = 9. Subtract: 10 − 9 = 1.

Final answer: 4/3 = 1.33

Example 2: 3/4

Step 1 (Set up) - Set up the long-division box: the denominator goes outside, the numerator goes inside, and the decimal answer will be written on top.

In this problem: We divide 3 by 4.

Step 2 (Repeat the long-division cycle) - Work from left to right. If the denominator does not fit yet, include the next digit until it does. Write the quotient digit on top. Multiply (denominator × that digit) and write it underneath, then subtract to get a remainder. Bring down the next digit and repeat. When you run out of digits, place a decimal point in the quotient and bring down 0s to get decimal digits. This calculator shows up to 2 digits after the decimal and stops early if the remainder becomes 0.

In this problem: We start from the left, but 4 does not fit into 3. So the integer part starts with 0. Then we place a decimal point and bring down 0s to get decimal digits (up to 2).

Step 2a (Work) - Divide, multiply, and subtract.

In this problem: 4 cannot go into 3, so we write 0. Multiply: 4 × 0 = 0. Subtract: 3 − 0 = 3.

Step 2b (Bring down 0) - Bring down 0 after the decimal.

In this problem: We bring down 0 to make 30.

Step 2c (Work) - Divide, multiply, and subtract.

In this problem: We look at 30. 4 fits 7 times. Multiply: 4 × 7 = 28. Subtract: 30 − 28 = 2.

Step 2d (Bring down 0) - Bring down 0 after the decimal.

In this problem: We bring down 0 to make 20.

Step 2e (Work) - Divide, multiply, and subtract.

In this problem: We look at 20. 4 fits 5 times. Multiply: 4 × 5 = 20. Subtract: 20 − 20 = 0.

Final answer: 3/4 = 0.75