To solve this expression, we can follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
1. Simplify the multiplication of the fractions:
4/3 × 22/7 = (4 × 22)/(3 × 7) = 88/21
2. Multiply the result from step 1 with 68:
88/21 × 68 = 2352
Therefore, 4/3 × 22/7 × 68 = 2352. The answer is 2352.
First, we can simplify the multiplication of the fractions 4/3 and 22/7. To do that, we multiply the numerators (top numbers) and denominators (bottom numbers) separately, as follows:
4/3 × 22/7 = (4 × 22)/(3 × 7) = 88/21
Now, we can substitute this result back into the original expression and multiply by 68:
88/21 × 68 = (88 × 68)/21
We can simplify further by dividing 88 and 21 by their greatest common factor (GCF), which is 11:
88/11 = 8 and 21/11 = 3/11
So, we have:
(88 × 68)/21 = (8 × 68)/(3/11) = 544/3
Finally, we divide 544 by 3 to get the decimal approximation:
544/3 = 181.333...
Rounding to two decimal places, we get:
906.67
Therefore, the result of the multiplication is 906.67.
Answers & Comments
Answer:
2352
Step-by-step explanation:
To solve this expression, we can follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
1. Simplify the multiplication of the fractions:
4/3 × 22/7 = (4 × 22)/(3 × 7) = 88/21
2. Multiply the result from step 1 with 68:
88/21 × 68 = 2352
Therefore, 4/3 × 22/7 × 68 = 2352. The answer is 2352.
Answer:
4/3 × 22/7 × 68= 906.67
Step-by-step explanation:
let me explain it step by step.
We have the expression:
4/3 × 22/7 × 68
First, we can simplify the multiplication of the fractions 4/3 and 22/7. To do that, we multiply the numerators (top numbers) and denominators (bottom numbers) separately, as follows:
4/3 × 22/7 = (4 × 22)/(3 × 7) = 88/21
Now, we can substitute this result back into the original expression and multiply by 68:
88/21 × 68 = (88 × 68)/21
We can simplify further by dividing 88 and 21 by their greatest common factor (GCF), which is 11:
88/11 = 8 and 21/11 = 3/11
So, we have:
(88 × 68)/21 = (8 × 68)/(3/11) = 544/3
Finally, we divide 544 by 3 to get the decimal approximation:
544/3 = 181.333...
Rounding to two decimal places, we get:
906.67
Therefore, the result of the multiplication is 906.67.