Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.
start fraction, 7, divided by, 10, end fraction, times, start fraction, 5, divided by, 6, end fraction
10
7
×
6
5
To solve this expression, we need to multiply the numerators and the denominators separately and then simplify the resulting fraction.
Numerator: 7 times 5 equals 35
Denominator: 10 times 6 equals 60
Thus, the simplified fraction is 35/60.
To perform the operation, follow these steps:
Step 1: Simplify the first fraction: 7 divided by 10 is equal to 7/10.
Step 2: Simplify the second fraction: 5 divided by 6 is equal to 5/6.
Step 3: Multiply the two simplified fractions: (7/10) times (5/6).
To multiply fractions, multiply the numerators together and multiply the denominators together:
(7/10) times (5/6) = (7 times 5) / (10 times 6) = 35/60.
Step 4: Simplify the fraction 35/60 to its lowest terms.
Both 35 and 60 are divisible by 5:
35 ÷ 5 = 7 and 60 ÷ 5 = 12.
Therefore, the simplified fraction is 7/12.
Final Answer: 7/12
To simplify the expression, "7 divided by 10 times 5 divided by 6," we follow the order of operations (PEMDAS/BODMAS).
Step 1: Simplify the division expressions separately.
7 divided by 10 = 0.7
5 divided by 6 = 0.8333...
Step 2: Multiply the results obtained in Step 1.
0.7 times 0.8333... = 0.5833...
Since the question asks for the answer as a simplified fraction, we need to convert the decimal to a fraction. To do this, we can use the following steps:
Step 3: Let "x" represent the decimal value to be converted to a fraction.
x = 0.5833...
Step 4: Multiply both sides of the equation by 10000 to eliminate the decimal.
10000x = 5833.333...
Step 5: Set up the equation to solve for x.
10000x = 5833.333...
Step 6: Solve for x.
x = 5833.333... divided by 10000
x = 5833.333... / 10000
x = 5833333/10000000
Therefore, the simplified fraction form of the expression "7 divided by 10 times 5 divided by 6" is 5833333/10000000.