What is the decimal equivalent of the fraction 3/8?

To convert the fraction 3/8 into its decimal equivalent, you perform the division of the numerator (3) by the denominator (8).

When you divide 3 by 8, you determine how many times 8 fits into 3. Since 8 does not fit into 3, you can add a decimal point and a zero to continue the division, effectively asking how many times 8 fits into 30.

8 fits into 30 three times (8 x 3 = 24), leaving a remainder of 6. Bringing down another zero makes it 60. Then, 8 fits into 60 seven times (8 x 7 = 56), leaving a remainder of 4. Adding another zero gives you 40, and 8 fits into 40 five times (8 x 5 = 40) with no remainder.

Putting this all together, you have determined that 3/8 equals 0.375. Thus, the decimal equivalent is accurately represented as 0.375.