Question

1. if you were asked to circle numbers in 1 and 2 that are rational numbers which of the following would you circle: i. all of them ii. none of them iii. some of them, but not all. 4. which of the following is not equal to the rational number $\frac{7}{4}$? (1) $\frac{14}{8}$ (2) $\frac{10}{7}$ (3) 1.75 (4) $1\frac{3}{4}$ n - gen math®, 7, unit 2 - operations with signed numbers - lesson 1 emathinstruction, red hook, ny 12571, © 2020

Explanation:

Explicación paso a paso:

Paso 1: Simplificar la fracción $\frac{8}{14}$

Dividir numerador y denominador por 2: $\frac{8\div2}{14\div2}=\frac{4}{7}$

Paso 2: Convertir $\frac{7}{10}$ a decimal

Realizar la división 7÷10: $7\div10 = 0.7$

Paso 3: Convertir $\frac{7}{4}$ a decimal

Realizar la división 7÷4: $7\div4=1.75$

Paso 4: Convertir $1\frac{1}{3}$ a decimal

$1\frac{1}{3}=\frac{1\times3 + 1}{3}=\frac{4}{3}$, y $\frac{4}{3}=4\div3\approx1.33$

Paso 5: Comparar con $\frac{7}{4}$

$\frac{7}{4} = 1.75$, $\frac{8}{14}=\frac{4}{7}
eq\frac{7}{4}$, $\frac{7}{10}
eq\frac{7}{4}$, $1\frac{1}{3}
eq\frac{7}{4}$

Respuesta:

I. All of them

Answer:

Explicación paso a paso:

Paso 1: Simplificar la fracción $\frac{8}{14}$

Dividir numerador y denominador por 2: $\frac{8\div2}{14\div2}=\frac{4}{7}$

Paso 2: Convertir $\frac{7}{10}$ a decimal

Realizar la división 7÷10: $7\div10 = 0.7$

Paso 3: Convertir $\frac{7}{4}$ a decimal

Realizar la división 7÷4: $7\div4=1.75$

Paso 4: Convertir $1\frac{1}{3}$ a decimal

$1\frac{1}{3}=\frac{1\times3 + 1}{3}=\frac{4}{3}$, y $\frac{4}{3}=4\div3\approx1.33$

Paso 5: Comparar con $\frac{7}{4}$

$\frac{7}{4} = 1.75$, $\frac{8}{14}=\frac{4}{7}
eq\frac{7}{4}$, $\frac{7}{10}
eq\frac{7}{4}$, $1\frac{1}{3}
eq\frac{7}{4}$

Respuesta:

I. All of them