Fraction to Decimal Calculator

This Fraction to Decimal Calculator helps you convert a fraction into a decimal and shows the working clearly using long division. Divide the numerator by the denominator, continue the division past the decimal point if needed, and stop when the decimal ends or reaches the required number of places. It is a simple way to check answers, understand fraction-to-decimal conversion, and practise basic arithmetic step by step.

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