Solution - Adding, subtracting and finding the least common multiple
Step by Step Solution
Rearrange:
Rearrange the equation by subtracting what is to the right of the less equal sign from both sides of the inequality :
-7/8-(m-13/8)≤0
Step by step solution :
Step 1 :
13
Simplify ——
8
Equation at the end of step 1 :
7 13
(0 - —) - (m - ——) ≤ 0
8 8
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 8 as the denominator :
m m • 8
m = — = —————
1 8
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
m • 8 - (13) 8m - 13
———————————— = ———————
8 8
Equation at the end of step 2 :
7 (8m - 13)
(0 - —) - ————————— ≤ 0
8 8
Step 3 :
7
Simplify —
8
Equation at the end of step 3 :
7 (8m - 13)
(0 - —) - ————————— ≤ 0
8 8
Step 4 :
Adding fractions which have a common denominator :
4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
-7 - ((8m-13)) 6 - 8m
—————————————— = ——————
8 8
Step 5 :
Pulling out like terms :
5.1 Pull out like factors :
6 - 8m = -2 • (4m - 3)
Equation at the end of step 5 :
-2 • (4m - 3)
————————————— ≤ 0
8
Step 6 :
6.1 Multiply both sides by 8
6.2 Divide both sides by -2
Remember to flip the inequality sign:
6.3 Divide both sides by 4
m-(3/4) ≥ 0
Solve Basic Inequality :
6.4 Add 3/4 to both sides
m ≥ 3/4
Inequality Plot :
6.5 Inequality plot for
-X + 0.750 ≥ 0