(18-10 18/35)-(3 9/28+2 3/20)

Question 1

Задача Задача №65186

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Аноним

27 ноября 2023 21:48 · публичный вопрос

А

Аноним 27 ноября 2023 21:48

(18-10 18/35)-(3 9/28+2 3/20)

Answer

To solve the expression (18-10 18/35)-(3 9/28+2 3/20), follow these steps:

Convert all mixed numbers into improper fractions. 10 18/35 can be written as (10 × 35 + 18)/35 = 368/35. 3 9/28 can be written as (3 × 28 + 9)/28 = 93/28. 2 3/20 can be written as (2 × 20 + 3)/20 = 43/20.
Simplify any fractions involved. (18 - 368/35) - (93/28 + 43/20)

To subtract 368/35 from 18, we need a common denominator of 35. (18 × 35/35) - (368/35) = (630/35) - (368/35) = (630 - 368)/35 = 262/35.

To add 93/28 and 43/20, we need a common denominator of 28 × 20 = 560. (93/28 × 20/20) + (43/20 × 28/28) = (1860/560) + (1204/560) = (1860 + 1204)/560 = 3064/560.
Subtract the simplified fractions. (262/35) - (3064/560)

To subtract the fractions, we need a common denominator of 35 × 560 = 19600. (262/35 × 560/560) - (3064/560 × 35/35) = (146320/19600) - (107240/19600) = (146320 - 107240)/19600 = 39080/19600.
Simplify the resulting fraction. The greatest common divisor (GCD) of 39080 and 19600 is 1960. Divide both the numerator and denominator by the GCD: (39080/1960) ÷ (19600/1960) = 20/10

Therefore, the final answer is 20/10, which simplifies to 2.

Question 2

(18-10 18/35)-(3 9/28+2 3/20)

Answer

To solve the expression (18-10 18/35)-(3 9/28+2 3/20), follow these steps: 1. Convert all mixed numbers into improper fractions. 10 18/35 can be written as (10 × 35 + 18)/35 = 368/35. 3 9/28 can be written as (3 × 28 + 9)/28 = 93/28. 2 3/20 can be written as (2 × 20 + 3)/20 = 43/20. 2. Simplify any fractions involved. (18 - 368/35) - (93/28 + 43/20) To subtract 368/35 from 18, we need a common denominator of 35. (18 × 35/35) - (368/35) = (630/35) - (368/35) = (630 - 368)/35 = 262/35. To add 93/28 and 43/20, we need a common denominator of 28 × 20 = 560. (93/28 × 20/20) + (43/20 × 28/28) = (1860/560) + (1204/560) = (1860 + 1204)/560 = 3064/560. 3. Subtract the simplified fractions. (262/35) - (3064/560) To subtract the fractions, we need a common denominator of 35 × 560 = 19600. (262/35 × 560/560) - (3064/560 × 35/35) = (146320/19600) - (107240/19600) = (146320 - 107240)/19600 = 39080/19600. 4. Simplify the resulting fraction. The greatest common divisor (GCD) of 39080 and 19600 is 1960. Divide both the numerator and denominator by the GCD: (39080/1960) ÷ (19600/1960) = 20/10 Therefore, the final answer is 20/10, which simplifies to 2.