To simplify the expression, we need to first find a common denominator for each fraction.
For 5/34 - 7/51:
To find a common denominator, we can multiply the denominators together: 34 * 51 = 1734
Now, we rewrite the fractions with the common denominator:
(5 51)/(34 51) - (7 34)/(34 51)= 255/1734 - 238/1734
Now we can subtract the fractions:
255/1734 - 238/1734 = 17/1734
For (11/20 - 0.75) + 1/16:
First, convert 0.75 to a fraction: 0.75 = 75/100 = 3/4
Now rewrite the expression:
(11/20 - 3/4) + 1/16
To find a common denominator, let's multiply 20, 4, and 16 together: 20 4 16 = 1280
Now, rewrite the fractions with the common denominator:
(11 64)/(20 64) - (3 320)/(4 320) + (1 80)/(16 80)= 704/1280 - 960/1280 + 80/1280
Now we can add the fractions:
704/1280 - 960/1280 + 80/1280 = -176/1280 + 80/1280= -96/1280= -3/40
Therefore, the simplified expression for (5/34 - 7/51) + (11/20 - 0.75) + 1/16 is:
17/1734 - 3/40
To simplify the expression, we need to first find a common denominator for each fraction.
For 5/34 - 7/51:
To find a common denominator, we can multiply the denominators together: 34 * 51 = 1734
Now, we rewrite the fractions with the common denominator:
(5 51)/(34 51) - (7 34)/(34 51)
= 255/1734 - 238/1734
Now we can subtract the fractions:
255/1734 - 238/1734 = 17/1734
For (11/20 - 0.75) + 1/16:
First, convert 0.75 to a fraction: 0.75 = 75/100 = 3/4
Now rewrite the expression:
(11/20 - 3/4) + 1/16
To find a common denominator, let's multiply 20, 4, and 16 together: 20 4 16 = 1280
Now, rewrite the fractions with the common denominator:
(11 64)/(20 64) - (3 320)/(4 320) + (1 80)/(16 80)
= 704/1280 - 960/1280 + 80/1280
Now we can add the fractions:
704/1280 - 960/1280 + 80/1280 = -176/1280 + 80/1280
= -96/1280
= -3/40
Therefore, the simplified expression for (5/34 - 7/51) + (11/20 - 0.75) + 1/16 is:
17/1734 - 3/40