Question
Calcula: \( \frac{3}{4}+\frac{10}{8}+\frac{3}{12}-\frac{1}{4} \)
Ask by Savage Ruiz. in Mexico
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
La suma es 2.
Solution
Calculate or simplify the expression \( \frac{3}{4}+\frac{10}{8}+\frac{3}{12}-\frac{1}{4} \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{3}{4}+\frac{10}{8}+\frac{3}{12}-\frac{1}{4}\)
- step1: Reduce the fraction:
\(\frac{3}{4}+\frac{5}{4}+\frac{3}{12}-\frac{1}{4}\)
- step2: Reduce the fraction:
\(\frac{3}{4}+\frac{5}{4}+\frac{1}{4}-\frac{1}{4}\)
- step3: Add the numbers:
\(2+\frac{1}{4}-\frac{1}{4}\)
- step4: Add the numbers:
\(\frac{9}{4}-\frac{1}{4}\)
- step5: Transform the expression:
\(\frac{9-1}{4}\)
- step6: Subtract the numbers:
\(\frac{8}{4}\)
- step7: Reduce the numbers:
\(\frac{2}{1}\)
- step8: Calculate:
\(2\)
La suma de las fracciones dadas es igual a 2.
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Simplify this solution Mind Expander
Para resolver la expresión \( \frac{3}{4}+\frac{10}{8}+\frac{3}{12}-\frac{1}{4} \), primero debemos convertir todas las fracciones a un común denominador. El mínimo común múltiplo de los denominadores (4, 8, 12) es 24. Entonces, convertimos las fracciones: \( \frac{3}{4} = \frac{18}{24} \) \( \frac{10}{8} = \frac{30}{24} \) \( \frac{3}{12} = \frac{6}{24} \) \( -\frac{1}{4} = -\frac{6}{24} \) Ahora, sumamos las fracciones: \( \frac{18}{24} + \frac{30}{24} + \frac{6}{24} - \frac{6}{24} = \frac{48}{24} = 2 \) Por lo tanto, el resultado es \( 2 \).
