5/7 as a decimal rounded to 3 decimal places is 0.714.
Convert 5/7 to decimal.
Step 1: In the given fraction 5/7, consider the numerator 5 as a dividend and the denominator 7 as the divisor. In this case, the denominator > numerator.
Step 2: We have to make the dividend digit (5) greater than the divisor digit (7) by placing 0 next to 5 and to the quotient respectively. Now we have 50 as a new dividend. (50>7)
Step 3: In the quotient part, it is important to insert decimal (.) after 0 and start the division.
Step 4: Multiply 7 with a number so that the product is less than or equal to 50. We know that 7 times 7 is 49. The digit that appeared in the quotient is 7, and the remainder left is 1. After introducing decimal in the quotient we can introduce one 0 at each step of division.
Step 5: Now the new dividend is 10. Multiply 7 with a number so that the product is less than or equal to 10. 7 times 1 is 7. Now the new digit in the quotient is 1 which makes it 0.71, and the remainder is 3.
Step 6: Now the new dividend is 30. Multiply 7 with a number so that the product is less than or equal to 30. 7 times 4 is 28. Now the new digit in the quotient is 1 which makes it 0.714.
Learn more about converting fractions into decimals here
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