To convert 7 and 3/4 into a percent and decimal, we first need to convert the mixed number into an improper fraction or a decimal.
Step 1: Convert the mixed number to an improper fraction.
7 and 3/4 can be expressed as:
7 = 7/1, so we multiply the whole number (7) by the denominator (4) and add the numerator (3):
7 × 4 + 3 = 28 + 3 = 31, thus, 7 and 3/4 = 31/4.
Step 2: Convert the improper fraction to a decimal.
To do this, divide the numerator (31) by the denominator (4):
31 ÷ 4 = 7.75.
So, 7 and 3/4 as a decimal is 7.75.
Step 3: Convert the decimal to a percent.
To convert a decimal to a percent, multiply it by 100:
7.75 × 100 = 775.
Therefore, 7 and 3/4 as a percent is 775%.
To summarize, 7 and 3/4 can be expressed as:
- Decimal: 7.75
- Percent: 775%