Prueba De Fracciones 2

Explanation
A fraction is a number that represents a part or portion of a whole number. It is a way of expressing a quantity that is less than one whole unit.

Explanation
The given expression is a sum of two fractions: 2/5 and 7/5. Since the denominators are the same, we can simply add the numerators together to get the numerator of the resulting fraction. Thus, 2/5 + 7/5 = (2 + 7)/5 = 9/5. Therefore, the correct answer is 9/5.

Explanation
The given statement is incorrect. To subtract two fractions, we do not need to invert the second fraction. Instead, we keep the first fraction as it is and subtract the numerators while keeping the denominators the same.

Explanation
The correct answer is 3/2. To find the result of subtracting 5/4 from 11/4, we need to have a common denominator. The common denominator for both fractions is 4. So, we can rewrite 11/4 as 11/4 and 5/4 as -5/4. Subtracting -5/4 from 11/4 gives us 16/4, which simplifies to 4. Therefore, the result is 4 divided by 2, which equals 2. So, the answer is 3/2.

Explanation
The fraction 12/18 can be simplified by 2 and 3.

Explanation
To simplify the fraction 30/48, we need to find the greatest common divisor (GCD) of the numerator and denominator, which is 6. Dividing both the numerator and denominator by 6, we get 5/8. Therefore, the fraction 5/8 is the simplified and irreducible form of 30/48.

Explanation
Juanito caminó 3/2 km en el primer día y 5/2 km en el segundo día. Para encontrar la distancia total que caminó en los dos días, se suman las distancias del primer y segundo día. 3/2 km + 5/2 km = 8/2 km = 4 km. Por lo tanto, Juanito caminó 4 km en los dos días.

Explanation
The result of adding 5/3 and 1/2 is equal to 13/6. To find the sum of these fractions, we need to have a common denominator. The least common multiple of 3 and 2 is 6. So, we can rewrite 5/3 as 10/6 and 1/2 as 3/6. Adding these fractions gives us 13/6.

Explanation
The correct answer is 9/14. To add fractions, we need to find a common denominator. In this case, the common denominator is 28. We then convert both fractions to have a denominator of 28. 2/4 becomes 14/28 and 1/7 becomes 4/28. Adding these two fractions gives us 14/28 + 4/28 = 18/28. Simplifying this fraction gives us 9/14.

Explanation
The correct answer is 3/10. To find the result of 9/5 - 3/2, we need to find a common denominator for the fractions. The common denominator for 5 and 2 is 10. So, we can rewrite 9/5 as 18/10 and 3/2 as 15/10. Now, we can subtract the fractions: 18/10 - 15/10 = 3/10. Therefore, the result is 3/10.

Explanation
When adding fractions, you need to have a common denominator. In this case, the common denominator is 6. So, 2/3 can be written as 4/6 and 2/6 remains the same. Adding them together, we get 4/6 + 2/6 = 6/6, which simplifies to 1. Therefore, the correct answer is 1.

Explanation
La suma de 7/4 y 1/3 se puede encontrar encontrando un denominador común y luego sumando los numeradores. En este caso, el denominador común es 12, ya que 4 y 3 son divisibles por 12. Luego, se suma 7/4 y 1/3 para obtener 21/12. Esto se puede simplificar a 1 9/12, que es igual a dos enteros y un doceavo.

Explanation
The correct answer is 7/10. When adding fractions, you need to have a common denominator. In this case, the common denominator is 10. So, you need to convert 3/10 to have a denominator of 10. By multiplying the numerator and denominator of 3/10 by 2, you get 6/20. Now you can add 6/20 and 2/5, which gives you 14/20. Simplifying this fraction, you get 7/10.

Explanation
To find the difference between 3/4 and 5/8, we need to find a common denominator. The least common multiple of 4 and 8 is 8. We can convert 3/4 to 6/8 by multiplying the numerator and denominator by 2. Now we can subtract 5/8 from 6/8, which gives us 1/8. Therefore, the correct answer is 1/8.

Explanation
To find the difference between 7/6 and 3/12, we need to find a common denominator. The least common multiple of 6 and 12 is 12. So, we can rewrite 7/6 as 14/12 and 3/12 as 1/4. Subtracting 1/4 from 14/12 gives us 13/12. Simplifying this fraction, we get 11/12. Therefore, the correct answer is 11/12.

Explanation
Juan initially has 3/2 kilos of bread. He eats a quarter of a kilo, which is equal to 2/8 or 1/4 of the original amount. To find out how much bread he has left, we subtract 1/4 from 3/2. To do this, we need to find a common denominator, which is 4. So, 3/2 is equivalent to 6/4. Subtracting 1/4 from 6/4 gives us 5/4. Therefore, Juan has 5/4 kilos of bread left.

Explanation
Jorge tiene una bolsa de frutas que pesa 5/4 gramos y otra bolsa que pesa 3/6 gramos. Para encontrar el peso total que lleva Jorge, debemos sumar el peso de ambas bolsas. Convertimos las fracciones a un denominador común, que en este caso es 12. Multiplicamos 5/4 por 3/3 para obtener 15/12 y multiplicamos 3/6 por 2/2 para obtener 6/12. Luego, sumamos 15/12 + 6/12, lo cual nos da 21/12. Simplificamos esta fracción y obtenemos 7/4. Por lo tanto, Jorge lleva un peso total de 7/4 gramos.

Explanation
When we add 2/4 to 2/3, we need to find a common denominator. The least common multiple of 3 and 4 is 12. So, we can rewrite 2/3 as 8/12. Now, we can add 2/4 to 8/12, which gives us 10/12. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2, we get 5/6. Therefore, the resulting fraction is 5/6.

Explanation
This statement is false. To add fractions with the same denominator, you simply add the numerators together and keep the denominator the same. You do not need to multiply the denominators.

Explanation
The correct answer is 3/8. To solve this problem, we need to find a common denominator for 4 and 8, which is 8. Then, we can convert 5/4 to 10/8 and 7/8 to 7/8. Subtracting 7/8 from 10/8 gives us 3/8.