Question

(5/7-1/3)+(1/4-1/5)+0,25

Answer 1

(5/7-1/3)+(1/4-1/5)+0,25=(15/21-7/21)+(5/20-4/20)+0,25 =8/21-1/20+0,25=8/21+4/20=244/420=61/105

Answer 2

((5/7)–(1/3))+((1/4)–(1/5))+0,25=((15/21)–(7/21))+((5/20)–(4/20))+0,25=(8/21)+(1/20)+0,25=(160/420)+(21/420)+0,25=(139/420)+0,25=(1390/4200)+(1050/4200)=(340/4200)=(34/420)

Answer 3

To calculate the expression, let's simplify step by step:

Step 1: Find a common denominator for the fractions involved, which is the least common multiple (LCM) of the denominators. LCM(7, 3, 4, 5) = 7 * 3 * 4 * 5 = 420.

Step 2: Convert each fraction to have a denominator of 420:

(5/7) = (5/7) * (60/60) = 300/420, (1/3) = (1/3) * (140/140) = 140/420, (1/4) = (1/4) * (105/105) = 105/420, (1/5) = (1/5) * (84/84) = 84/420.

Step 3: Now the expression becomes:

(300/420 - 140/420) + (105/420 - 84/420) + 0.25.

Step 4: Simplify each fraction:

(300/420 - 140/420) = (160/420) = 4/7, (105/420 - 84/420) = (21/420) = 1/20.

Step 5: Now the expression becomes:

(4/7) + (1/20) + 0.25.

Step 6: Convert 0.25 to a fraction with a denominator of 20:

0.25 = 0.25 * (20/20) = 5/20.

Step 7: Add the fractions:

(4/7) + (1/20) + (5/20) = (80/140) + (7/140) + (35/140) = (80 + 7 + 35) / 140 = 122/140.

Step 8: Simplify the fraction:

122/140 = 61/70.

So, the final result of the expression is 61/70.