Question

3/8:3/5+3 5/9:2 2/3-4 4/5:12

Answer 1

Ответ:

1 и 67/120

Пошаговое объяснение:

3 /8 ÷  3/ 5  =   3/ 8 ×  5/ 3  =   3·5 /8·3  =   15 /24  =   5 · 3/ 8 · 3  =   5/ 8

3  5/ 9 ÷2  2/ 3  =    32 /9 ÷  8 /3  =   32 /9 ×  3/ 8  =   32·3 /9·8  =   96 /72  =     4 /3  =   1  1/ 3

4  4 /5 ÷12 =      24 /5 ÷12 =      24 /60  =     2/ 5

5 /8  + 1  1 /3  = 1 +   5 /8  +   1 /3  = 1 +   23 /24  = 1  23/ 24

1  23/ 24  -   2/5  =     47 /24  -   2/ 5  =    235/ 120  -   48 /120  =      187/120  =    1  67/ 120

Answer 2

To solve the expression, let's take it step by step:

1. 3/8 : 3/5 To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. (3/8) ÷ (3/5) = (3/8) × (5/3) = 15/24 = 5/8

2. 3 5/9 : 2 To convert the mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. Keep the denominator the same. (3 × 9 + 5) / 9 = 28/9 Now, divide the fraction by 2. (28/9) ÷ 2 = 28/18 = 14/9

3. 2 2/3 - 4 First, convert the mixed number to an improper fraction. (2 × 3 + 2) / 3 = 8/3 Now, subtract 4 from the fraction. 8/3 - 4 = 8/3 - 12/3 = (8 - 12) / 3 = -4/3

4. 4 4/5 : 12 Again, convert the mixed number to an improper fraction. (4 × 5 + 4) / 5 = 24/5 Now, divide the fraction by 12. (24/5) ÷ 12 = 24/60 = 2/5

Putting it all together: 5/8 + 14/9 - 4/3 + 2/5

To add and subtract fractions, we need to find a common denominator, which is the least common multiple (LCM) of the denominators: 8, 9, 3, and 5.

LCM(8, 9, 3, 5) = 360

Now, let's rewrite each fraction with a denominator of 360:

(5/8) * (45/45) = 225/360 (14/9) * (40/40) = 560/360 (4/3) * (120/120) = 480/360 (2/5) * (72/72) = 144/360

Now, we can add and subtract:

225/360 + 560/360 - 480/360 + 144/360 = (225 + 560 - 480 + 144) / 360 = 449/360

The final answer is 449/360. However, we can simplify this fraction by finding the greatest common divisor (GCD) of 449 and 360, which is 1. Divide both the numerator and denominator by 1:

449/360 (divided by 1) = 449/360

So, the simplified result is 449/360.