Evaluate.
3 1/3−5 3/5
Hint: Rewrite the mixed numbers as improper fractions before subtracting. Make sure your answer has the correct sign.
Enter your answer as a mixed number, like this: 4 5/6
this is just like your earlier problem. Where do you get stuck?
The answer is -2 14/15. next time go to calculator soup and fin the mixed number calculator
To evaluate the expression 3 1/3 - 5 3/5, we first need to rewrite the mixed numbers as improper fractions.
3 1/3 can be written as (3 * 3 + 1) / 3 = 10/3.
Similarly, 5 3/5 can be written as (5 * 5 + 3) / 5 = 28/5.
Now, we can subtract the two fractions:
10/3 - 28/5.
To subtract fractions, we need a common denominator. The least common multiple of 3 and 5 is 15.
Multiplying the numerator and denominator of 10/3 by 5, we get (10 * 5) / (3 * 5) = 50/15.
Multiplying the numerator and denominator of 28/5 by 3, we get (28 * 3) / (5 * 3) = 84/15.
So, the expression becomes:
50/15 - 84/15.
Since both fractions have the same denominator, we can subtract the numerators while keeping the denominator the same:
(50 - 84) / 15 = -34/15.
To convert the improper fraction -34/15 back to a mixed number, we divide the numerator by the denominator:
-34 ÷ 15 = -2 remainder 14.
Therefore, the answer is -2 14/15.
To evaluate 3 1/3 - 5 3/5, we need to rewrite the mixed numbers as improper fractions and then perform the subtraction.
To convert a mixed number to an improper fraction, follow these steps:
1. Multiply the whole number by the denominator of the fraction.
In this case, for 3 1/3:
3 * 3 = 9
2. Add the result from step 1 to the numerator of the fraction.
9 + 1 = 10
3. Place the result from step 2 over the denominator.
So, 3 1/3 as an improper fraction is 10/3.
For 5 3/5:
1. Multiply the whole number by the denominator of the fraction.
For 5 3/5:
5 * 5 = 25
2. Add the result from step 1 to the numerator of the fraction.
25 + 3 = 28
3. Place the result from step 2 over the denominator.
So, 5 3/5 as an improper fraction is 28/5.
Now that we have both numbers as improper fractions, we can subtract them:
10/3 - 28/5
To subtract fractions, we need a common denominator. In this case, the common denominator is 15:
(10/3) * (5/5) = 50/15
(28/5) * (3/3) = 84/15
Now we can subtract the numerators:
50/15 - 84/15 = -34/15
The answer -34/15 is a negative fraction. To convert it back to a mixed number, follow these steps:
1. Divide the numerator by the denominator.
-34 ÷ 15 = -2 remainder -4
2. Write the whole number using the quotient from step 1.
The whole number is -2.
3. Write the remainder from step 1 as the numerator of the fraction.
The remainder is -4.
4. The denominator remains the same, which is 15.
So, the final answer is -2 4/15.