Question

3/4+4/5+1/20; 3/4+5/12-1/9;

Answer 1

3/4+4/5=15/20+16/20=31/20(доп множ к 3/4 5,к 4/5 4)=1 целая 1/20

3/4+5/12-1/9=3/4+5/12=9/12+5/12=14/12(доп множ к 3/4 3,к 5/12 1)=7/6=1целая 1/6

1/6-1/9=3/18-2/18=1/18(доп множ к 1/6 3,к 1/9 2)

Answer 2

To solve these arithmetic expressions involving fractions, we need to find a common denominator for each set of fractions and then perform the respective operations. Let's calculate:

1. 3/4 + 4/5 + 1/20:

To add fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 4, 5, and 20 is 20.

Now, we need to rewrite each fraction with the common denominator (20):

3/4 = (3 * 5) / (4 * 5) = 15/20 4/5 = (4 * 4) / (5 * 4) = 16/20 1/20 (already in the desired form)

Now, we can add the fractions:

15/20 + 16/20 + 1/20 = (15 + 16 + 1) / 20 = 32/20 = 8/5

So, 3/4 + 4/5 + 1/20 equals 8/5.

2. 3/4 + 5/12 - 1/9:

To add and subtract fractions, we need to find a common denominator. The LCM of 4, 12, and 9 is 36.

Now, we rewrite each fraction with the common denominator (36):

3/4 = (3 * 9) / (4 * 9) = 27/36 5/12 = (5 * 3) / (12 * 3) = 15/36 1/9 = (1 * 4) / (9 * 4) = 4/36

Now, we can add and subtract the fractions:

27/36 + 15/36 - 4/36 = (27 + 15 - 4) / 36 = 38/36

Now, we simplify the fraction:

38/36 = (2 * 19) / (2 * 18) = 19/18

So, 3/4 + 5/12 - 1/9 equals 19/18.