Question

-10 2/7:1 13/35 + 3 9/11 : 1 1/55=?

Answer 1

-72/7:48/35 + 42/11:56/55 =
= -72/7 * 35/48 + 42/11 * 55/56 =-360/48 + 105/28=
= 105/28 - 45/6= -315/84=-3 целых 3/4

Answer 2

To solve the expression -10 2/7:1 13/35 + 3 9/11 : 1 1/55, we need to follow the order of operations, which is often remembered as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction). In this case, we have division and addition to perform. Let's break it down step by step:

-10 2/7:1 13/35 means dividing -10 2/7 by 1 13/35.

First, let's convert the mixed numbers to improper fractions:

-10 2/7 = -72/7 1 13/35 = 48/35

Now, we divide -72/7 by 48/35:

(-72/7) / (48/35) = (-72/7) * (35/48) (dividing by a fraction is the same as multiplying by its reciprocal)

To multiply fractions, we multiply the numerators together and the denominators together:

(-72/7) * (35/48) = (-72 * 35) / (7 * 48) = -2520/336 = -15/2

So, the first part of the expression -10 2/7:1 13/35 simplifies to -15/2.

Next, let's solve the second part of the expression 3 9/11 : 1 1/55.

Following the same process as before, we convert the mixed numbers to improper fractions:

3 9/11 = 132/11 1 1/55 = 56/55

Now, we divide 132/11 by 56/55:

(132/11) / (56/55) = (132/11) * (55/56) (dividing by a fraction is the same as multiplying by its reciprocal)

To multiply fractions, we multiply the numerators together and the denominators together:

(132/11) * (55/56) = (132 * 55) / (11 * 56) = 7260/616 = 1815/154

So, the second part of the expression 3 9/11 : 1 1/55 simplifies to 1815/154.

Finally, let's add the two results together:

-15/2 + 1815/154

To add fractions, we need a common denominator. The least common multiple (LCM) of 2 and 154 is 308. We can convert the fractions to have a denominator of 308:

-15/2 = -15/2 * 154/154 = -2310/308 1815/154 = 1815/154 * 2/2 = 3630/308

Now, we can add the fractions:

-2310/308 + 3630/308 = (-2310 + 3630)/308 = 1320/308

The fraction 1320/308 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4:

1320/308 = 330/77

Therefore, the final result of the expression -10 2/7:1 13/35 + 3 9/11 : 1 1/55 is 330/77.