1 5/14 = (14x1+5)/14 = 19/14
Subtract these like you did on #2. The LCM of 7 and 14 is 14. Multiply the numerator and denominator by 2 (14÷7).
60/7 = (60x2)/(7x2) = 120/14
The next fraction can be left alone, since its denominator is already 14. Now subtract.
120/14 - 19/14 = (120 - 19)/14 = 101/14. This can be turned into mixed number form.
101/14 = 7 r3 = 7 3/14
5. Addition follows the same rules as subtraction, only this time add the numerators instead of subtracting the second. First make these mixed numbers improper fractions.
5 3/4 = (4x5+3)/4 = 23/4
6 1/3 = (3x6+1)/3 = 19/3
Make these numbers have a common denominator (12).
23/4 = (23x3)/(4x3) = 69/12
19/3 = (19x4)/(3x4) = 76/12
Add them and finally make the answer in mixed number form.
69/12 + 76/12 = (69+76)/12 = 145/12
145/12 = 12 r1 = 12 1/12
The next problem can be easy to solve now.
#6 in mixed number form is: 84 1/18
7. Make the second fraction improper.
8 3/4 = (4x8+3)/4 = 35/4
When dividing fractions, you take the reciprocal of the second fraction, leaving the first fraction alone, and multiply them like all fractions.
The reciprocal of a/b is b/a. The reciprocal of 35/4 is therefore 4/35. Now multiply.
1/16 ÷ 35/4 = 1/16 x 4/35 = (1x4)/(16x35) = 4/560. This can be simplified by dividing the numerator and denominator by 4.
4/560 = (4÷4)/(560÷4) = 1/140
This next sections is about solving for variables of equations. All you're doing is looking for the value of the unknown variable (letter) in each of these equations. In order to solve for variables, you need to isolate one to one side of the equal sign; i.e., make the variable on one side of the equal sign to make it equal a specific value. You can check the solutions by yourself by substituting the value of the variable to the original equation and see if it makes sense.
1. In order to isolate y, you need to get rid of 3.7. There is a method where what you can do is multiply a value on both sides of the equal sign to get the equation will be balanced and solve for the variable (if a = b, then ac = bc). Since 3.7 is being divided by the variable y, you multiply it on both sides (because a/b x b = (axb)/b = a/1 x b/b = a/1 x 1= a/1 = a). This will also eliminate the fraction bar. I hope you don't have a problem in operating on decimals.
y/3.7 = 8.1
y = 8.1 x 3.7
y = 29.97
2. The same with #1. Only this time, m is being multiplied. Therefore, you must divide by the number being multiplied with m.
2/5m = 6
m = 6 ÷ 2/5
m = 6 x 5/2
m = (6 x 5)/2
m = 30/2
m = 15
The next two problems are the same thing as #2. Remember to turn mixed numbers into improper fractions first, divide and simplify (if possible).
#3 is x = 1 1/5
#4 is p = 4 3/4