Question

Как решить примеры 1)7/30+14/15=? 2)5/24+1/15=? 3)5/36+7/18=? 4)1/35+1/14=? 5)13 1/4+9 2/5=?

Answer 1

А)
1)7*30=210
2)14*15=210
3)210+210=420

б)
1)5*24=120
2)1*15=15
3)120+15=135

в)
1)5*36=180
2)7*18=126
3)180+126=306

г)
1)1*35=35
2)1*14=14
3)35+14=49

д)
1)131*4=524
2)92*5=460
3)524+460=984

Answer 2

Solution to the Examples:

1) To solve the expression 7/30 + 14/15, we need to find a common denominator for the two fractions. The least common multiple of 30 and 15 is 30. We can rewrite the fractions with the common denominator:

7/30 + 14/15 = (7/30) * (1/1) + (14/15) * (2/2) = 7/30 + 28/30 = (7 + 28)/30 = 35/30 = 7/6.

Therefore, 7/30 + 14/15 = 7/6.

2) To solve the expression 5/24 + 1/15, we need to find a common denominator for the two fractions. The least common multiple of 24 and 15 is 120. We can rewrite the fractions with the common denominator:

5/24 + 1/15 = (5/24) * (5/5) + (1/15) * (8/8) = 25/120 + 8/120 = (25 + 8)/120 = 33/120 = 11/40.

Therefore, 5/24 + 1/15 = 11/40.

3) To solve the expression 5/36 + 7/18, we need to find a common denominator for the two fractions. The least common multiple of 36 and 18 is 36. We can rewrite the fractions with the common denominator:

5/36 + 7/18 = (5/36) * (2/2) + (7/18) * (2/2) = 10/72 + 14/72 = (10 + 14)/72 = 24/72 = 1/3.

Therefore, 5/36 + 7/18 = 1/3.

4) To solve the expression 1/35 + 1/14, we need to find a common denominator for the two fractions. The least common multiple of 35 and 14 is 70. We can rewrite the fractions with the common denominator:

1/35 + 1/14 = (1/35) * (2/2) + (1/14) * (5/5) = 2/70 + 5/70 = (2 + 5)/70 = 7/70 = 1/10.

Therefore, 1/35 + 1/14 = 1/10.

5) To solve the expression 13 1/4 + 9 2/5, we need to convert the mixed numbers to improper fractions.

13 1/4 = (13 * 4 + 1)/4 = 53/4.

9 2/5 = (9 * 5 + 2)/5 = 47/5.

Now, we can find a common denominator for the two fractions. The least common multiple of 4 and 5 is 20. We can rewrite the fractions with the common denominator:

13 1/4 + 9 2/5 = (53/4) * (5/5) + (47/5) * (4/4) = 265/20 + 188/20 = (265 + 188)/20 = 453/20.

Therefore, 13 1/4 + 9 2/5 = 453/20.