Question

9/16+7/24-3/8= 2/5+4/15-5/9= 37/42-17/24+5/7= a)x+11/743=9/12 b)21/34-y=16/51

Answer 1

1) привести к общему основанию 48:
(9*3)/48+(7*2)/48-(3*6)/48=27/48+14/48+18/48=23/48
2) общее основание 168:
(4*37)/168-(17*7)/168+(24*5)/168=148/168-119/168+120/168=149/168
3) х=9/12-11/743
x=6687/8916-132/8916
x=6555/8916
4) y=21/34-16/51
y=1071/1734-544/1734
y=527/1734

Answer 2

Let's solve each equation step by step:

a) To solve the equation x + 11/743 = 9/12, we need to isolate the variable x. Let's start by moving the constant term to the other side:

x + 11/743 - 11/743 = 9/12 - 11/743

Simplifying:

x = 9/12 - 11/743

Now, let's find a common denominator for the fractions:

x = (9/12) * (743/743) - (11/743) * (12/12)

x = (9 * 743) / (12 * 743) - (11 * 12) / (743 * 12)

x = 6693/8916 - 132/8916

Combining the fractions:

x = (6693 - 132) / 8916

x = 6561/8916

The equation x + 11/743 = 9/12 is equivalent to x = 6561/8916.

b) To solve the equation 21/34 - y = 16/51, we'll isolate the variable y. Let's begin by moving the constant term to the other side:

21/34 - y = 16/51

Subtracting 21/34 from both sides:

21/34 - y + 21/34 = 16/51 + 21/34

Simplifying:

-y = 16/51 + 21/34 - 21/34

Combining the fractions:

-y = (16 * 34 + 21 * 51 - 21 * 34) / (51 * 34)

-y = (544 + 1071 - 714) / 1734

-y = 901/1734

To solve for y, we multiply both sides by -1:

y = -901/1734

The equation 21/34 - y = 16/51 is equivalent to y = -901/1734.