Subtract 9 7/10 − 6 1/4 . What is the difference?(1 point)

Question

Responses

151920
15 Start Fraction 19 over 20 End Fraction

3920
3 Start Fraction 9 over 20 End Fraction

2920
2 Start Fraction 9 over 20 End Fraction

312
3 Start Fraction 1 over 2 End Fraction

Answer 1

To subtract fractions, you need to find a common denominator for both fractions. In this case, the common denominator is 20.

9 7/10 = 9 * 10/10 + 7/10 = 90/10 + 7/10 = 97/10

6 1/4 = 6 * 4/4 + 1/4 = 24/4 + 1/4 = 25/4

Now, subtract the two fractions:

97/10 - 25/4

To have a common denominator of 20, you need to multiply the first fraction by 2/2 and the second fraction by 5/5:

(97/10) * (2/2) - (25/4) * (5/5) = 194/20 - 125/20 = (194 - 125)/20 = 69/20

Thus, the difference is 69/20 or 3 9/20.

Therefore, the correct answer is: 3 Start Fraction 9 over 20 End Fraction.