Question

3 1/7 / (7/8-2/3)-2×1 1/4​

Answer 1

Ответ:

Решение на картинке (::::::::::::::::::)

Объяснение:

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Answer 2

To simplify the expression:

3 1/7 / (7/8 - 2/3) - 2×1 1/4

Step 1: Convert mixed numbers to improper fractions. 3 1/7 = (3 * 7 + 1) / 7 = 22/7 1 1/4 = (1 * 4 + 1) / 4 = 5/4

So the expression becomes:

(22/7) / (7/8 - 2/3) - 2 * (5/4)

Step 2: Simplify the fractions in the expression:

First, find a common denominator for (7/8 - 2/3). The common denominator is 24.

(7/8) = (7 * 3) / (8 * 3) = 21/24 (2/3) = (2 * 8) / (3 * 8) = 16/24

Now, we can subtract:

(21/24 - 16/24) = 5/24

So the expression becomes:

(22/7) / (5/24) - 2 * (5/4)

Step 3: Invert and multiply when dividing by a fraction (x/y is the same as x * (1/y)):

(22/7) * (24/5) - 2 * (5/4)

Step 4: Perform the multiplications:

(22 * 24) / (7 * 5) - 2 * (5/4)

(528/35) - 2 * (5/4)

Step 5: Subtract and simplify further:

(528/35) - (10/4)

First, convert 10/4 to its simplest form:

(10/4) = (5/2)

Now subtract:

(528/35) - (5/2)

To subtract these fractions, find a common denominator, which is 70:

(528/35) = (528/35) * (2/2) = (1056/70) (5/2) = (5 * 35) / (2 * 35) = (175/70)

Now, subtract:

(1056/70) - (175/70) = (1056 - 175) / 70 = 881/70

So the simplified expression is:

881/70

You can leave it as an improper fraction or convert it to a mixed number if needed:

881/70 = 12 41/70

So, the result is either 881/70 or 12 41/70, depending on the format you prefer.