What's 10 ÷ 2 and 1/3
Don't convert into a fraction
The result of 10 ÷ 2 and 1/3 is 3 and 1/3.
To divide 10 by 2 and 1/3 without converting it into a fraction, you can proceed as follows:
Step 1: Convert the mixed number 1 1/3 into an improper fraction.
1 × 3 = 3
3 + 1 = 4
So, 1 1/3 can be written as 4/3.
Step 2: Find the common denominator of the fractions. In this case, the common denominator is 3.
Step 3: Rewrite 10 as an improper fraction with a denominator of 3.
10 × 3/3 = 30/3.
Step 4: Now, perform the division using the fractions.
30/3 ÷ 4/3 = (30/3) × (3/4).
Step 5: Simplify the division by canceling out common factors.
The 3 in the numerator and the denominator cancel each other out, resulting in:
30/4.
Step 6: Divide the numerator by the denominator.
30 ÷ 4 = 7 with a remainder of 2.
So, 10 ÷ 2 and 1/3 equals 7 with a remainder of 2.
To find the solution to the division problem 10 ÷ 2 and 1/3 without converting it into a fraction, we can follow these steps:
Step 1: Convert the mixed number (2 and 1/3) into an improper fraction. Multiply the whole number (2) by the denominator (3), then add the numerator (1). In this case, 2 multiplied by 3 equals 6, and adding 1 equals 7. So the mixed number 2 and 1/3 can be written as the improper fraction 7/3.
Step 2: Divide the numerator (10) by the denominator (7/3) of the fraction. When dividing fractions, we multiply the numerator by the reciprocal of the denominator. The reciprocal of 7/3 is 3/7.
So, 10 ÷ 2 and 1/3 can be solved as follows:
10 ÷ (7/3) = 10 × (3/7) = 30/7.
Therefore, the result of 10 ÷ 2 and 1/3, without converting it into a fraction, is 30/7.