Use long division to convert 3 4/5 to a decimal

Answer 1

To convert 3 4/5 to a decimal using long division, follow these steps:

1. Write the whole number (3) as the dividend and the fraction (4/5) as the divisor: 3 ÷ 4/5.
2. To divide a whole number by a fraction, convert the fraction to its reciprocal. The reciprocal of 4/5 is 5/4. So, the expression becomes: 3 ÷ 5/4.
3. Rewrite the division expression as a multiplication expression by multiplying the dividend by the reciprocal of the divisor: 3 × 5/4.
4. Multiply the numerators (3 × 5 = 15) and the denominators (1 × 4 = 4) separately: 15/4.
5. Simplify the fraction, if possible. In this case, the fraction is already in its simplest form.
6. The resulting fraction, 15/4, represents the decimal 3.75, which is the decimal equivalent of 3 4/5.

Therefore, 3 4/5 is equal to 3.75 as a decimal.