Question

lesson 8.5 extra practice
add.

1. $3\frac{1}{2} + 2\frac{1}{4} = \underline{quadquad}$
2. $4\frac{5}{6} + 6\frac{2}{3} = \underline{quadquad}$
3. $1\frac{4}{5} + 7\frac{3}{10} = \underline{quadquad}$
4. $4\frac{1}{6} + 2\frac{5}{12} = \underline{quadquad}$
5. $\frac{3}{4} + 5\frac{7}{8} = \underline{quadquad}$
6. $7\frac{2}{3} + 3\frac{1}{12} = \underline{quadquad}$
7. $2\frac{8}{9} + 5\frac{2}{3} = \underline{quadquad}$
8. $\frac{1}{3} + 8\frac{7}{8} = \underline{quadquad}$
9. $2\frac{1}{4} + \frac{3}{5} = \underline{quadquad}$
10. $2\frac{1}{6} + 2\frac{3}{8} = \underline{quadquad}$
11. $3\frac{1}{2} + \frac{1}{6} + 4\frac{5}{6} = \underline{quadquad}$
12. $1\frac{1}{3} + 3\frac{1}{4} + 2\frac{7}{12} = \underline{quadquad}$

florida grade 5 resources by chapter

Explanation:

Ejercicio 1

Paso 1: Convertir a fracciones impropias

$3\frac{1}{2} = \frac{7}{2}$, $2\frac{1}{4} = \frac{9}{4}$

Paso 2: Igualar denominadores

$\frac{7}{2} = \frac{14}{4}$

Paso 3: Sumar fracciones

$\frac{14}{4} + \frac{9}{4} = \frac{23}{4} = 5\frac{3}{4}$

Ejercicio 2

Paso 1: Convertir a fracciones impropias

$4\frac{5}{6} = \frac{29}{6}$, $6\frac{2}{3} = \frac{20}{3}$

Paso 2: Igualar denominadores

$\frac{20}{3} = \frac{40}{6}$

Paso 3: Sumar fracciones

$\frac{29}{6} + \frac{40}{6} = \frac{69}{6} = 11\frac{1}{2}$

Ejercicio 3

Paso 1: Convertir a fracciones impropias

$1\frac{4}{5} = \frac{9}{5}$, $7\frac{3}{10} = \frac{73}{10}$

Paso 2: Igualar denominadores

$\frac{9}{5} = \frac{18}{10}$

Paso 3: Sumar fracciones

$\frac{18}{10} + \frac{73}{10} = \frac{91}{10} = 9\frac{1}{10}$

Ejercicio 4

Paso 1: Convertir a fracciones impropias

$4\frac{1}{6} = \frac{25}{6}$, $2\frac{5}{12} = \frac{29}{12}$

Paso 2: Igualar denominadores

$\frac{25}{6} = \frac{50}{12}$

Paso 3: Sumar fracciones

$\frac{50}{12} + \frac{29}{12} = \frac{79}{12} = 6\frac{7}{12}$

Ejercicio 5

Paso 1: Igualar denominadores

$\frac{3}{4} = \frac{6}{8}$, $5\frac{7}{8} = \frac{47}{8}$

Paso 2: Sumar fracciones

$\frac{6}{8} + \frac{47}{8} = \frac{53}{8} = 6\frac{5}{8}$

Ejercicio 6

Paso 1: Convertir a fracciones impropias

$7\frac{2}{3} = \frac{23}{3}$, $3\frac{1}{12} = \frac{37}{12}$

Paso 2: Igualar denominadores

$\frac{23}{3} = \frac{92}{12}$

Paso 3: Sumar fracciones

$\frac{92}{12} + \frac{37}{12} = \frac{129}{12} = 10\frac{3}{4}$

Ejercicio 7

Paso 1: Convertir a fracciones impropias

$2\frac{8}{9} = \frac{26}{9}$, $5\frac{2}{3} = \frac{17}{3}$

Paso 2: Igualar denominadores

$\frac{17}{3} = \frac{51}{9}$

Paso 3: Sumar fracciones

$\frac{26}{9} + \frac{51}{9} = \frac{77}{9} = 8\frac{5}{9}$

Ejercicio 8

Paso 1: Igualar denominadores

$\frac{1}{3} = \frac{8}{24}$, $8\frac{7}{8} = \frac{71}{8} = \frac{213}{24}$

Paso 2: Sumar fracciones

$\frac{8}{24} + \frac{213}{24} = \frac{221}{24} = 9\frac{5}{24}$

Ejercicio 9

Paso 1: Convertir a fracciones impropias

$2\frac{1}{4} = \frac{9}{4}$, $\frac{3}{5}$

Paso 2: Igualar denominadores

$\frac{9}{4} = \frac{45}{20}$, $\frac{3}{5} = \frac{12}{20}$

Paso 3: Sumar fracciones

$\frac{45}{20} + \frac{12}{20} = \frac{57}{20} = 2\frac{17}{20}$

Ejercicio 10

Paso 1: Convertir a fracciones impropias

$2\frac{1}{6} = \frac{13}{6}$, $2\frac{3}{8} = \frac{19}{8}$

Paso 2: Igualar denominadores

$\frac{13}{6} = \frac{52}{24}$, $\frac{19}{8} = \frac{57}{24}$

Paso 3: Sumar fracciones

$\frac{52}{24} + \frac{57}{24} = \frac{109}{24} = 4\frac{13}{24}$

Ejercicio 11

Paso 1: Convertir a fracciones impropias

$3\frac{1}{2} = \frac{7}{2}$, $\frac{1}{6}$, $4\frac{5}{6} = \frac{29}{6}$

Paso 2: Igualar denominadores

$\frac{7}{2} = \frac{21}{6}$

Paso 3: Sumar fracciones

$\frac{21}{6} + \frac{1}{6} + \frac{29}{6} = \frac{51}{6} = 8\frac{1}{2}$

Ejercicio 12

Paso 1: Convertir a fracciones impropias

$1\frac{1}{3} = \frac{4}{3}$, $3\frac{1}{4} = \frac{13}{4}$, $2\frac{7}{12} = \frac{31}{12}$

Paso 2: Igualar denominadores

$\frac{4}{3} = \frac{16}{12}$, $\frac{13}{4} = \frac{39}{12}$

Paso 3: Sumar fracciones

$\frac{16}{12} + \frac{39}{12} + \frac{31}{12} = \frac{86}{12} = 7\frac{1}{6}$

Answer:

1. $5\frac{3}{4}$
2. $11\frac{1}{2}$
3. $9\frac{1}{10}$
4. $6\frac{7}{12}$
5. $6\frac{5}{8}$
6. $10\frac{3}{4}$
7. $8\frac{5}{9}$
8. $9\frac{5}{24}$
9. $2\frac{17}{20}$
10. $4\frac{13}{24}$
11. $8\frac{1}{2}$
12. $7\frac{1}{6}$