Three tennis balls have the same mass. If the total mass of the 3 balls is 6 3/10 grams, what is the mass of 1 ball?(1 point) Responses 10/189 grams Start Fraction 10 over 189 End Fraction grams 2 3/10 grams 2 Start Fraction 3 over 10 End Fraction grams 2 1/10 grams 2 Start Fraction 1 over 10 End Fraction grams 18 9/10 grams

1 answer

To find the mass of one tennis ball, we can divide the total mass of the three tennis balls by the number of balls.

The total mass of the 3 balls is given as \(6 \frac{3}{10}\) grams. We can convert this mixed number to an improper fraction:

\[ 6 \frac{3}{10} = \frac{6 \times 10 + 3}{10} = \frac{60 + 3}{10} = \frac{63}{10} \text{ grams} \]

Now, we divide the total mass by 3 to find the mass of one ball:

\[ \text{Mass of one ball} = \frac{\frac{63}{10}}{3} = \frac{63}{10} \times \frac{1}{3} = \frac{63}{30} \]

Now we can simplify \( \frac{63}{30} \):

\[ \frac{63 \div 3}{30 \div 3} = \frac{21}{10} \]

Converting \( \frac{21}{10} \) back to a mixed number:

\[ \frac{21}{10} = 2 \frac{1}{10} \]

Thus, the mass of one tennis ball is \(2 \frac{1}{10}\) grams.

So the answer is:

2 1/10 grams