Question

Выполните действия (3 1/4+1 1/6:1 5/9):2 2/7+5 1/9:7 2/3= (1/6+(7/18+2/27):5/9)+3/11*2 1/5= Пожалуйста распишите по действиям м без десятичных дробей

Answer 1

1) (3 1/4+1 1/6:1 5/9):2 2/7+5 1/9:7 2/3=2  5/12
1. 1 1/6:1 5/9=7/6:14/9=7*9/6*14=1*3/2*2=3/4
2. 3 1/4+3/4=3 4/4=4
3. 4:2 2/7=4:16/7=4*7/16=28/16=7/4
4. 5 1/9:7 2/3=46/9:23/3=46*3/9*23=2*1/3*1=2/3
5. 7/4+2/3=3*7/3*4+4*2/4*3=21/12+8/12=29/12=2  5/12

(1/6+(7/18+2/27):5/9)+3/11*2 1/5=1  3/5
1. 7/18+2/27=3*7/3*18+2*2/2*27=21/54+4/54=25/54
2. 25/54:5/9=25*9/54*5=5*1/6*1=5/6
3. 1/6+5/6=6/6=1
4. 3/11*2 1/5=3/11*11/5=3*11/11*5=3/5=3/5
5. 1+3/5=5/5+3/5=8/5= 1  3/5

Answer 2

Calculation Breakdown

Let's break down the given mathematical expression step by step:

1. Division: - \(3 \frac{1}{4} + \frac{1}{6} : 1 \frac{5}{9}\) - \(3 \frac{1}{4} + \frac{1}{6} \div 1 \frac{5}{9}\) - \(3 \frac{1}{4} + \frac{1}{6} \div \frac{14}{9}\) - \(3 \frac{1}{4} + \frac{9}{6} \div 14\) - \(3 \frac{1}{4} + \frac{3}{2} \div 14\)

2. Addition: - \(3 \frac{1}{4} + \frac{3}{2} \div 14\) - \(3 \frac{1}{4} + \frac{3}{2} \div 14\) - \(3 \frac{1}{4} + \frac{3}{28}\) - \(\frac{13}{4} + \frac{3}{28}\)

3. Division: - \(\frac{13}{4} + \frac{3}{28}\) - \(\frac{13}{4} \div \frac{3}{28}\) - \(\frac{91}{28} + 3\)

4. Multiplication: - \(\frac{91}{28} + 3\) - \(\frac{91}{28} + \frac{84}{28}\) - \(\frac{91+84}{28}\) - \(\frac{175}{28}\) - \(6 \frac{7}{28}\)

5. Addition: - \(6 \frac{7}{28}\)

6. Multiplication: - \(6 \frac{7}{28} \times \frac{3}{11} \times 2 \frac{1}{5}\) - \(\frac{175}{28} \times \frac{3}{11} \times \frac{11}{5}\) - \(\frac{175}{28} \times \frac{3}{5}\) - \(\frac{525}{140}\) - \(3 \frac{45}{140}\) - \(3 \frac{9}{28}\)

Final Result

The result of the given expression is 3 9/28.