Tentukan hasil penjumlahan pecahan-pecahan berikut a. 3/ 4 + 3 1/2 =

By Admin ReiPosted on December 7, 2022

b.3 5/6+4 2/8=
c.7 6/7+5 5/6=
d.10 1/2+8 3/5+3/10=
e.1 9/21+2 3/7+3 11/14=

Tentukan hasil penjumlahan pecahan-pecahan berikut a. 3/ 4 + 3 1/2 =

NOMOR 1.

$frac{3}{4} + 3 frac{1}{2}$

$= frac{3}{4} + frac{7}{2}$

$= frac{(3 times 1) + (7 times 2)}{14} = frac{3 + 14}{14} = frac{17}{14} = 1 frac{3}{14}$

NOMOR 2.

$3 frac{5}{6} + 4 frac{2}{8}$

$= frac{23}{6} + frac{34}{8}$

$= frac{(23 times 4) + (34 times 3)}{24}$

$= frac{92 + 102}{24} = frac{194}{24} = frac{97}{12} = 8 frac{1}{12}$

NOMOR 3.

$7 frac{6}{7} + 5 frac{5}{6}$

$= frac{55}{7} + frac{35}{6}$

$= frac{(55 times 6) + (35 times 7)}{42}$

$= frac{330 + 245}{42} = frac{575}{42} = 13 frac{29}{42}$

NOMOR 4.

$10 frac{1}{2} + 8 frac{3}{5} + frac{3}{10}$

$= frac{21}{2} + frac{43}{5} + frac{3}{10}$

$= frac{(21 times 5) + (43 times 2) + (3 times 1)}{10}$

$= frac{105 + 86 + 3}{10} = frac{194}{10} = frac{97}{5} = 19 frac{2}{5}$

NOMOR 5.

$1 frac{9}{21} + 2 frac{3}{7} + 3 frac{11}{14}$

$= 1 frac{3}{7} + 2 frac{3}{7} + 3 frac{11}{14}$

$= frac{10}{7} + frac{17}{7} + frac{53}{14}$

$= frac{(10 times 2) + (17 times 2) + (53 times 1)}{14}$

$= frac{20 + 34 + 53}{14} = frac{107}{14} = 7 frac{9}{14}$