Question

1/2 + 4/5, 3/4 +5/9, 2/3 - 1/4, 5/6 - 3/4

Answer 1

1) 1/2+4/5=5/10+9/10=14/10=1,4
2) 3/4+5/9=27/36+20/36=47/36=1 11/36
3) 2/3-1/4=8/12-3/12=5/12
4) 5/6-3/4=10/12-9/12=1/12

Answer 2

I can help you with math problems. Here is the detailed solution for your query.

To add or subtract fractions, we need to find a common denominator. A common denominator is the least common multiple of the denominators of the fractions. For example, the least common multiple of 2 and 3 is 6, so 6 is the common denominator of 1/2 and 1/3.

To find the common denominator of 1/2 and 4/5, we need to find the least common multiple of 2 and 5. The least common multiple of 2 and 5 is 10, so 10 is the common denominator of 1/2 and 4/5. To make the fractions have the same denominator, we need to multiply the numerator and denominator of 1/2 by 5, and the numerator and denominator of 4/5 by 2. This gives us:

$$\frac{1}{2} + \frac{4}{5} = \frac{1 \times 5}{2 \times 5} + \frac{4 \times 2}{5 \times 2} = \frac{5}{10} + \frac{8}{10}$$

Now we can add the fractions by adding the numerators and keeping the denominator the same. We also simplify the fraction by dividing the numerator and denominator by the greatest common factor. The greatest common factor of 13 and 10 is 1, so the fraction is already in simplest form.

$$\frac{5}{10} + \frac{8}{10} = \frac{5 + 8}{10} = \frac{13}{10}$$

The same method can be applied to the other fractions. The common denominator of 3/4 and 5/9 is 36, the common denominator of 2/3 and 1/4 is 12, and the common denominator of 5/6 and 3/4 is 12. The solutions are:

$$\frac{3}{4} + \frac{5}{9} = \frac{3 \times 9}{4 \times 9} + \frac{5 \times 4}{9 \times 4} = \frac{27}{36} + \frac{20}{36} = \frac{27 + 20}{36} = \frac{47}{36}$$

$$\frac{2}{3} - \frac{1}{4} = \frac{2 \times 4}{3 \times 4} - \frac{1 \times 3}{4 \times 3} = \frac{8}{12} - \frac{3}{12} = \frac{8 - 3}{12} = \frac{5}{12}$$

$$\frac{5}{6} - \frac{3}{4} = \frac{5 \times 2}{6 \times 2} - \frac{3 \times 3}{4 \times 3} = \frac{10}{12} - \frac{9}{12} = \frac{10 - 9}{12} = \frac{1}{12}$$

You can also use online calculators to check your answers or get more help. Here are some links that might be useful:

- [Fraction Calculator](https://www.calculator.net/fraction-calculator.html?c2d1=4.5&ctype=2&x=0&y=0) - [The Viral 1 + 4 = 5 Puzzle. The Correct Answer Explained](https://mindyourdecisions.com/blog/2016/08/24/the-viral-1-4-5-puzzle-the-correct-answer-explained/) - [Sequence of $1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5$](https://math.stackexchange.com/questions/1390516/sequence-of-1-2-2-3-3-3-4-4-4-4-5-5-5-5-5)

I hope this helps. If you have any other questions, feel free to ask me.