1/2.4/3+5/6 divided by 7/8=
To solve this problem, we need to perform the calculations step by step.
First, let's calculate the numerator of the first fraction: 1/2 + 4/3.
To simplify this operation, we need to find a common denominator, which is 6.
1/2 becomes 3/6.
Thus, the numerator of the first fraction is 3/6 + 4/3 = 9/6 + 8/6 = 17/6.
Now, let's obtain the denominator of the first fraction: 7/8.
Therefore, to divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
Hence, 17/6 ÷ 7/8 = 17/6 x 8/7.
Multiplying the numerators: 17 x 8 = 136.
Multiplying the denominators: 6 x 7 = 42.
So, the answer is 136/42.
1 27/48
1 13/21
1 33/42
1 19/48
To simplify these mixed fractions, we can first convert them to improper fractions.
1. 1 27/48 = (1 * 48 + 27) / 48 = 75/48.
2. 1 13/21 = (1 * 21 + 13) / 21 = 34/21.
3. 1 33/42 = (1 * 42 + 33) / 42 = 75/42 = 25/14.
4. 1 19/48 = (1 * 48 + 19) / 48 = 67/48.
Therefore, the simplified fractions are:
1. 75/48.
2. 34/21.
3. 25/14.
4. 67/48.
you have to choose one of the ones I chose
Apologies for the confusion. Let's choose one of the mixed fractions you provided and simplify it.
Let's take 1 27/48.
To simplify this mixed fraction, we first convert it to an improper fraction.
1 27/48 = (1 * 48 + 27) / 48 = 75/48.
Since both the numerator and denominator of 75/48 are divisible by 3, we can simplify it further by dividing both by 3.
75/48 ÷ 3/3 = 25/16.
Therefore, the simplified form of 1 27/48 is 25/16.
To divide fractions, we can multiply by the reciprocal of the second fraction. So, in this case, we have:
(1/2 ÷ 4/3 + 5/6) ÷ 7/8
First, let's simplify the division inside the parentheses:
1/2 ÷ 4/3 = 1/2 × 3/4 = (1 × 3) / (2 × 4) = 3/8
Now, the expression becomes:
(3/8 + 5/6) ÷ 7/8
To add these fractions, we need a common denominator. The least common multiple of 8 and 6 is 24, so let's rewrite the fractions with 24 as the denominator:
(3/8 × 3/3) + (5/6 × 4/4) = 9/24 + 20/24 = 29/24
Finally, we divide this result by 7/8. Remember, dividing by a fraction is the same as multiplying by its reciprocal:
29/24 × 8/7 = (29 × 8) / (24 × 7) = 232/168
The final answer, when simplified, is 58/42.
To understand how to solve this problem, let's break it down step by step.
Step 1: Convert mixed numbers to improper fractions.
The given expression involves mixed numbers (numbers in the format of a whole number and a fractional part). To perform arithmetic operations, it's best to convert them to improper fractions.
1/2.4 can be written as 1 + 4/10, which simplifies to 1 + 2/5 after reducing the fraction.
So, 1/2.4 can be written as 7/5.
Similarly, 5/6 can't be simplified as it is already in fractional form.
Step 2: Simplify both fractions if possible.
Now, let’s simplify the expression:
(7/5 + 5/6) ÷ (7/8)
To add two fractions, we need a common denominator. In this case, the lowest common denominator (LCD) would be 30. Therefore, we need to find a common denominator for 5 and 6, which is 30.
7/5 can be rewritten as 42/30, and 5/6 can be rewritten as 25/30.
Step 3: Add the fractions.
Now that both fractions have the same denominator, we can add them together.
42/30 + 25/30 = 67/30
Step 4: Divide the result by the third fraction.
To divide by a fraction, invert the divisor (the number you're dividing by) and multiply it by the dividend (the number you're dividing).
In this case, we need to divide 67/30 by 7/8. This can be done by multiplying 67/30 by the reciprocal of 7/8, which is 8/7.
(67/30) × (8/7)
Step 5: Multiply the fractions.
Multiply the numerators together (67 × 8) to get the numerator of the result, and multiply the denominators together (30 × 7) to get the denominator of the result.
(67 × 8) / (30 × 7) = 536/210
Step 6: Simplify the resulting fraction if possible.
Finally, check if the resulting fraction can be simplified. In this case, both 536 and 210 can be divided by 2:
536 ÷ 2 = 268
210 ÷ 2 = 105
Therefore, the simplified form of the fraction 536/210 is 268/105.
So, the solution to the expression (1/2.4 + 5/6) ÷ (7/8) is 268/105.