2 2/3 ÷ 2 2/3 × 1 1/7
To solve this problem, we need to convert the mixed numbers to improper fractions and then perform the calculations.
2 2/3 = (3 * 2 + 2) / 3 = 8/3
1 1/7 = (7 * 1 + 1) / 7 = 8/7
Now we can solve the expression:
(8/3) / (8/3) * (8/7)
When dividing fractions, we multiply the first fraction by the reciprocal (or flip) of the second fraction:
(8/3) * (7/8) * (8/7)
Now cancel out common factors:
(1) * (1) * (1) = 1
Therefore, 2 2/3 ÷ 2 2/3 × 1 1/7 equals 1.
To solve the expression, we can follow these steps:
Step 1: Convert all mixed numbers into improper fractions:
2 2/3 = (2 * 3 + 2) / 3 = 8/3
1 1/7 = (1 * 7 + 1) / 7 = 8/7
Step 2: Divide the two fractions:
(8/3) ÷ (8/7) = (8/3) x (7/8)
Step 3: Multiply the numerators and denominators:
8 x 7 = 56
3 x 8 = 24
Step 4: Simplify the fraction if possible:
56/24 is not simplified, so we can divide both the numerator and denominator by their greatest common divisor, which is 8:
56/24 = (56/8) / (24/8) = 7/3
Therefore, 2 2/3 ÷ 2 2/3 × 1 1/7 equals 7/3.
To solve the expression 2 2/3 ÷ 2 2/3 × 1 1/7, we can follow a step-by-step approach.
Step 1: Convert the mixed numbers to improper fractions.
2 2/3 = (2 * 3 + 2) / 3 = 8/3
1 1/7 = (1 * 7 + 1) / 7 = 8/7
Step 2: Divide 8/3 by 8/3.
Dividing fractions is equivalent to multiplying by the reciprocal of the second fraction.
Therefore, 8/3 ÷ 8/3 = 8/3 * 3/8 = (8 * 3) / (3 * 8) = 24/24 = 1
Step 3: Multiply the result from Step 2 by 8/7.
1 × 8/7 = 8/7
Therefore, the expression 2 2/3 ÷ 2 2/3 × 1 1/7 equals 8/7 or 1 1/7.