Question

Choose the three equivalent forms of 6.375.

six and three eighths, 6.375%, fifty one eighths
six and three seventy fifths, 6.375%, thirty seven sixths
six and three seventy fifths, 637.5%, thirty seven sixths
six and three eighths, 637.5%, fifty one eighths

Answer 1

The three equivalent forms of 6.375 are six and three eighths, 637.5%, and fifty one eighths, which represent a mixed number, a percentage, and an improper fraction, respectively.

Step-by-step explanation:

The question asks to choose the three equivalent forms of 6.375. When dealing with equivalent forms of numbers, it's useful to think about different representations such as fractions, percentages, and decimals.

The correct three equivalent forms are six and three eighths, 637.5%, and fifty one eighths. To explain:

• Six and three eighths: The decimal 6.375 can be converted into a mixed number by recognizing that .375 is equivalent to 3/8.
• 637.5%: To convert a decimal to a percentage, we multiply by 100. Thus, 6.375 multiplied by 100 gives us 637.5%.
• Fifty one eighths: To convert 6.375 to an improper fraction, we know that 6 is the same as 48/8 (since 6 times 8 equals 48), and when we add the 3/8, we get 51/8.