Question

Выполни действия б)37/75 - 9/25 в)9/32 - 7/36 г) 19/37 - 1/2 д)7/15+7/30-3/8 е) 1/2+2/3-3/4

Answer 1

а) 4/7 +7/12 = (48 + 49)/84 = 97/84 = 1 13/84

б) 37/75 - 9/25 = (37-27)/75 = 10/75 = 2/15

в)  9/32 - 7/36 = (81 - 56)/288 = 25/288

Answer 2

б) 37/75 + 9/25

To add fractions, we need to find a common denominator. In this case, the common denominator is 75.

So, we have: 37/75 + 9/25 = (37 * 1)/(75 * 1) + (9 * 3)/(25 * 3) = 37/75 + 27/75 = (37 + 27)/75 = 64/75.

Therefore, the sum of 37/75 and 9/25 is 64/75.

в) 9/32 + 7/36

To add fractions, we need to find a common denominator. In this case, the common denominator is 288.

So, we have: 9/32 + 7/36 = (9 * 9)/(32 * 9) + (7 * 8)/(36 * 8) = 81/288 + 56/288 = (81 + 56)/288 = 137/288.

Therefore, the sum of 9/32 and 7/36 is 137/288.

г) 19/37 + 1/2

To add fractions, we need to find a common denominator. In this case, the common denominator is 74.

So, we have: 19/37 + 1/2 = (19 * 2)/(37 * 2) + (1 * 37)/(2 * 37) = 38/74 + 37/74 = (38 + 37)/74 = 75/74.

Therefore, the sum of 19/37 and 1/2 is 75/74.

д) 7/15 + 7/30 - 3/8

To add or subtract fractions, we need to find a common denominator. In this case, the common denominator is 120.

So, we have: 7/15 + 7/30 - 3/8 = (7 * 8)/(15 * 8) + (7 * 4)/(30 * 4) - (3 * 15)/(8 * 15) = 56/120 + 28/120 - 45/120 = (56 + 28 - 45)/120 = 39/120.

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3: 39/120 = (39/3)/(120/3) = 13/40.

Therefore, the sum of 7/15, 7/30, and -3/8 is 13/40.

е) 1/2 + 2/3 - 3/4

To add or subtract fractions, we need to find a common denominator. In this case, the common denominator is 12.

So, we have: 1/2 + 2/3 - 3/4 = (1 * 6)/(2 * 6) + (2 * 4)/(3 * 4) - (3 * 3)/(4 * 3) = 6/12 + 8/12 - 9/12 = (6 + 8 - 9)/12 = 5/12.

Therefore, the sum of 1/2, 2/3, and -3/4 is 5/12.