Question

(53 1/4+26 1/8):(32 7/8-15 4/7)

Answer 1

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Answer 2

To solve the expression, we first need to convert all the mixed numbers to improper fractions and then perform the arithmetic operations.

Let's convert the mixed numbers to improper fractions:

53 1/4 = (53 * 4 + 1) / 4 = 213 / 4 26 1/8 = (26 * 8 + 1) / 8 = 209 / 8 32 7/8 = (32 * 8 + 7) / 8 = 263 / 8 15 4/7 = (15 * 7 + 4) / 7 = 109 / 7

Now the expression becomes:

(213 / 4 + 209 / 8) / (263 / 8 - 109 / 7)

Next, we find a common denominator for the fractions in the numerator and denominator:

Common denominator for the numerator: 8 (since both 4 and 8 can divide evenly into 8) Common denominator for the denominator: 56 (since 8 and 7 can divide evenly into 56)

Now, rewrite the expression with the common denominators:

[(213/4 * 2) + (209/8)] / [(263/8) * 7 - (109/7) * 8]

Simplify the expression:

[426/4 + 209/8] / [1841/56 - 872/56] [(426 + 209)/4] / [(1841 - 872)/56] [635/4] / [969/56]

Now, to divide by a fraction, we multiply by its reciprocal:

[635/4] * [56/969]

Now, multiply the numerators and denominators:

(635 * 56) / (4 * 969)

Calculate the result:

35560 / 3876 ≈ 9.175

So, the result of the expression is approximately 9.175.