Solve this problem. Reduce to lowest terms.
2 1 third÷1 3 over 8=
To solve this problem, we need to convert both fractions to improper fractions and then perform the division.
First, we convert 2 1/3 to an improper fraction:
2 1/3 = (2*3 + 1)/3 = 7/3
Next, we convert 1 3/8 to an improper fraction:
1 3/8 = (1*8 + 3)/8 = 11/8
Now, we can perform the division of 7/3 ÷ 11/8:
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
7/3 ÷ 11/8 = 7/3 * 8/11
Now, we can multiply the numerators and denominators separately:
(7 * 8) / (3 * 11) = 56/33
However, this fraction is not in the lowest terms, so we need to further simplify it.
To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by it.
The GCD of 56 and 33 is 1, so dividing both by 1 does not change the fraction:
56/33 = 56/33
Therefore, the solution, reduced to lowest terms, is 56/33.
To solve this problem and reduce the expression to its lowest terms, we need to follow these steps:
Step 1: Convert the mixed numbers into improper fractions.
2 1/3 = (2 × 3 + 1) / 3 = 7/3
1 3/8 = (1 × 8 + 3) / 8 = 11/8
Step 2: Invert the second fraction and multiply it by the first fraction.
(7/3) ÷ (11/8) = (7/3) × (8/11)
Step 3: Multiply the numerators and denominators.
(7 × 8) / (3 × 11) = 56/33
Step 4: Reduce the fraction to lowest terms.
To reduce the fraction 56/33 to its lowest terms, we find the greatest common divisor (GCD) of 56 and 33, which is 1.
Dividing both the numerator and denominator by the GCD, we get:
56 ÷ 1 / 33 ÷ 1 = 56/33
Therefore, the reduced form of the expression is 56/33.
To solve this problem and reduce the fraction to its lowest terms, we need to follow these steps:
Step 1: Convert the mixed numbers into improper fractions.
The mixed numbers are 2 1 third and 1 3 over 8. To convert them to improper fractions, we multiply the whole number by the denominator and then add the numerator.
2 1/3 = (2 * 3 + 1) / 3 = 7 / 3
1 3/8 = (1 * 8 + 3) / 8 = 11 / 8
Step 2: Divide the two fractions.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, we multiply 7/3 by the reciprocal of 11/8, which is 8/11.
(7 / 3) ÷ (11 / 8) = (7 / 3) * (8 / 11) = (7 * 8) / (3 * 11) = 56 / 33
Step 3: Reduce the fraction to its lowest terms.
To reduce a fraction to its lowest terms, find the greatest common divisor (GCD) of the numerator and the denominator. Then, divide both the numerator and the denominator by their GCD.
To find the GCD of 56 and 33, we can use the Euclidean algorithm or use a calculator. The GCD of 56 and 33 is 1, since there are no common factors other than 1.
Dividing both the numerator and the denominator by 1 gives us:
56 / 33 = 56 / 33
Therefore, the fraction 2 1 third ÷ 1 3 over 8, when reduced to its lowest terms, is equal to 56 / 33.