Using long division convert 2 7/16 into a decimal
To convert 2 7/16 into a decimal using long division, follow these steps:
1. Write down the whole number part, which is 2.
2. Convert the fraction part to a decimal by dividing the numerator (7) by the denominator (16).
- Start by writing 7 as the first digit of the quotient above the division symbol.
- Multiply the divisor (16) by the quotient digit (7), and subtract the product from 7 (the numerator). Write down the result (1) below 7.
- Bring down the next digit from the original fraction, which is 0. Write it next to the 1.
- Divide 10 by 16. Since 10 is smaller than 16, add a 0 to the quotient and bring down another digit from the original fraction.
- Multiply the new quotient (0) by the divisor (16), and write the result (0) below 10.
- Bring down the next digit from the original fraction, which is 0. Write it next to the 0.
- Divide 0 by 16. Since 0 is smaller than 16, add another 0 to the quotient and bring down the final digit from the original fraction, which is 0.
- Multiply the new quotient (0) by the divisor (16), and write the result (0) below 0.
- Since there are no more digits left in the original fraction, the division stops here.
The decimal form of 2 7/16 is 2.4375.
To convert 2 7/16 into a decimal using long division, follow these steps:
Step 1: Write down the fraction 7/16 as a decimal by dividing the numerator (7) by the denominator (16):
7 รท 16 = 0.4375
Step 2: Add the whole number part (2) to the decimal part obtained in the previous step:
2 + 0.4375 = 2.4375
Therefore, 2 7/16 is equal to 2.4375 in decimal form.