What is \(\frac{81}{90}\) in simplest form?
What is \(\frac{56}{74}\) in simplest form?
What is \(\frac{y}{y^3}\) in simplest form?
What is \(\frac{s^4}{s^2}\) in simplest form?
What is \(\frac{9a}{12a}\) in simplest form?
What is \(\frac{14g}{24g}\) in simplest form?
What is \(\frac{100p}{200p^2}\) in simplest form?
What is \(\frac{6k^5}{21k^2}\) in simplest form?
What is \(\frac{16b}{24d}\) in simplest form?
Answer (3)
56/74 = 28/37 y^-2 s^2 3a/4a 7g/12g 0.5p^-1 2/7k^3 2b/3d
The results are 1. 9/10, 2. 28/37, 3. \frac{1}{y^2} \) , 4. s 2 , 5. 3/4, 6. 7/12, 7. 1/2p, 8. \frac{2k^3}{7} \) and 9. \frac{2b}{3d} \) .
To simplify each fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by it.
Simplifying 81/90:
GCD of 81 and 90 is 9.
Dividing both by 9, we get:
= (81 ÷ 9)/(90 ÷ 9) = 9/10.
Simplifying 56/74:
GCD of 56 and 74 is 2. Dividing both by 2, we get:
= (56 ÷ 2)/(74 ÷ 2) = 28/37.
Simplifying y/y³:
y/y³ simplifies to 1/y² since y divided by y³ is 1/y².
Simplifying s⁴/s²:
s⁴/s² simplifies to s² since s⁴ divided by s² is s⁴⁻² = s².
Simplifying 9a/12a:
GCD of 9a and 12a is 3a. Dividing both by 3a, we get:
= (9a ÷ 3a)/(12a ÷ 3a) = 3/4.
Simplifying 14g/24g:
GCD of 14g and 24g is 2g. Dividing both by 2g, we get:
= (14g ÷ 2g)/(24g ÷ 2g) = 7/12.
Simplifying 100p/200p²:
GCD of 100p and 200p² is 100p. Dividing both by 100p, we get:
= (100p ÷ 100p)/(200p² ÷ 100p)
= 1/2p.
Simplifying 6k⁵/21k²:
GCD of 6k⁵ and 21k² is 3k². Dividing both by 3k², we get:
= (6k⁵ ÷ 3k²)/(21k² ÷ 3k²)
= 2k³/7.
Simplifying 16b/24d:
The GCD of 16b and 24d is 8. Since b and d are different variables, we only divide the coefficients, getting: = (16/8)b/(24/8)d = 2b/3d.
Therefore, the results are 1. 9/10, 2. 28/37, 3. \frac{1}{y^2} \) , 4. s 2 , 5. 3/4, 6. 7/12, 7. 1/2p, 8. \frac{2k^3}{7} \) and 9. \frac{2b}{3d} \) .
The simplified forms of the given fractions are: 1. 10 9 , 2. 37 28 , 3. y 2 1 , 4. s 2 , 5. 4 3 , 6. 12 7 , 7. 2 p 1 , 8. 7 2 k 3 , and 9. 3 d 2 b .
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