Makakuha ng eksaktong at maaasahang sagot sa lahat ng iyong katanungan sa IDNStudy.com. Anuman ang kahirapan ng iyong mga tanong, ang aming komunidad ay may mga sagot na kailangan mo.

the sum of two mixed numbers 3 1/4 and 12 2/3 is equal to which mixed number?​

Sagot :

Answer:

15 11/12

Step-by-step explanation:

[tex]3 \frac{1}{4} + 12 \frac{2}{3} = \frac{13}{4} + \frac{38}{3} \\ \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{39}{12} + \frac{152}{12} \\ \: \: \: \: \: \: \: \: \: \: \: \: = \frac{191}{12} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 15 \frac{11}{2} [/tex]

1) Transform 3 1/4 and 12 2/3 to improper fraction

[tex]3 \times \frac{1}{4} = \frac{3 \times 4 + 1}{4} = \frac{13}{4} [/tex]

[tex]12 \times \frac{2}{3} = \frac{12 \times 3 + 2}{3} = \frac{38}{3} [/tex]

2) Add 13/4 and 38/3 by finding it's common denominator

[tex] \frac{13}{4} + \frac{38}{3} = \frac{39}{12} + \frac{152}{12} = \frac{191}{12} [/tex]

3) Simplify or transform 191/12 into mixed number

[tex] \frac{191}{12} = 15 \frac{11}{12} [/tex]