-7 3/8 as a Decimal

Answer

-7 3/8 in decimal form can be written as -7.375.

Explanation

To convert -7 3/8 into a decimal, we first deal with the fractional part 3/8. We will use the division method to convert 3/8 into a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. Here, the numerator (3) will be taken as the dividend, and the denominator (8) will be taken as the divisor.

Step 2: Perform the division 3 ÷ 8. Since 3 is smaller than 8, we add a decimal point and a zero to the dividend, making it 30.

Step 3: Divide 30 by 8. 8 goes into 30 three times (3 × 8 = 24). Write 3 in the quotient place.

Step 4: Subtract 24 from 30, which gives 6. Bring down another 0, making it 60.

Step 5: Divide 60 by 8. 8 goes into 60 seven times (7 × 8 = 56). Write 7 in the quotient, and subtract 56 from 60, leaving 4.

Step 6: Bring down another 0, making it 40. Divide 40 by 8, which goes 5 times (5 × 8 = 40), leaving no remainder.

Thus, 3/8 as a decimal is 0.375. Combining this with the whole number part, -7, gives us -7.375.

• Mixed Fraction: A numerical quantity that contains a whole number and a fraction.

• 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.

• Recurring Decimal: A decimal in which a digit or group of digits repeats infinitely.