35/40 as a Decimal

Answer

35/40 in decimals can be simplified and written as 0.875. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 35/40 in decimal, we will use the division method. We start by simplifying the fraction, if possible. Here, both 35 and 40 can be divided by 5. Simplifying gives us 7/8. Now, let's convert 7/8 to a decimal using the division process.

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Since 7 is smaller than 8, it can't be divided as is, so we will use decimals. We will add 0 to the dividend, making 7 as 70, and place a decimal point in the quotient.

Step 3: Now, divide 70 by 8. We find that 8 goes into 70 eight times (8 × 8 = 64).

Step 4: Write 8 in the quotient place and subtract 64 from 70 to get a remainder of 6.

Step 5: Bring down a 0 to make it 60. Now divide 60 by 8, which goes 7 times (8 × 7 = 56).

Step 6: Subtract 56 from 60 to get a remainder of 4. Bring down another 0 to make it 40.

Step 7: Divide 40 by 8 to get 5 (8 × 5 = 40), with a remainder of 0. The division process ends with no remainder, indicating a terminating decimal.

The answer for 35/40 as a decimal will be 0.875.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.
   
• Terminating Decimal: A decimal that ends and does not repeat infinitely.