hasil operasi hitung pecahan dari :A. 5 : 2/11B. 36 1/4 : 8 3/4C. ( 5 1/4 x 16/7 ) : 2/3 D. ( 18 2/9.... Question from @hanifahprasetia

October 2022 1 10 Report

hasil operasi hitung pecahan dari :

A. 5 : 2/11
B. 36 1/4 : 8 3/4
C. ( 5 1/4 x 16/7 ) : 2/3
D. ( 18 2/9 : 9 1/9) : 1 1/3
E. ( 2/7 : 40/21 ) x ( 3/10 : 9/20)
F. ( 7/9 - 5/27 ) x ( 1/3 - 5/18)

mohon pakai cara yah kak

maghfi24

$a. \: \: 5 \div \frac{2}{11} = \frac{5}{1} \times \frac{11}{2} = \frac{55}{2} = 27 \frac{1}{2}$

$b. \: \: 36\frac{1}{4} \div 8 \frac{3}{4} = \frac{145}{4} \div \frac{35}{4} = \frac{145}{4} \times \frac{4}{35} = \frac{145}{1} \times \frac{1}{35} = \frac{145}{35} = \frac{29}{7} = 4 \frac{1}{7} \\$

$c. \: \: (5 \frac{1}{4} \times \frac{16}{7} ) \div \frac{2}{3} = ( \frac{21}{4} \times \frac{16}{7} ) \div \frac{2}{3} = ( \frac{3}{1} \times \frac{4}{1} ) \div \frac{2}{3} = \frac{12}{1} \times \frac{3}{2} = \frac{6}{1} \times \frac{3}{1} = 18 \\$

$d. \: \: (18 \frac{2}{9} \div 9 \frac{1}{9} ) \div 1 \frac{1}{3} = ( \frac{164}{9} \div \frac{82}{9} ) \div \frac{4}{3} = ( \frac{164}{9} \times \frac{9}{82} ) \div \frac{4}{3} = ( \frac{2}{1} \times \frac{1}{1} ) \div \frac{4}{3} = \frac{2}{1} \times \frac{3}{4} = \frac{1}{1} \times \frac{3}{2} = \frac{3}{2} = 1 \frac{1}{2} \\$

$e. \: \: ( \frac{2}{7} \div \frac{40}{21} ) \times ( \frac{3}{10} \div \frac{9}{20} ) = ( \frac{2}{7} \times \frac{21}{40} ) \times ( \frac{3}{10} \times \frac{20}{9} ) = \frac{3}{20} \times \frac{2}{3} = \frac{2}{20} = \frac{1}{10} \\$

$f. \: \: ( \frac{7}{9} - \frac{5}{27} ) \times ( \frac{1}{3} - \frac{5}{18} ) = ( \frac{21 - 5}{27} ) \times ( \frac{6 - 5}{18} ) = \frac{16}{27} \times \frac{1}{18} = \frac{8}{27} \times \frac{1}{9} = \frac{8}{ 243} \\$