Solve 4 1/4 - 2 11/20

Sagot :

This could be solved as a group of mixed numbers, but I like to work with improper fractions more.
17/4 - 51/20
Next, you need to find a common denominator.
85/20 -51/20
When adding and subtracting fractions, you only work in the numerator, and the denominator stays the same.
34/20
Then, you just simplify.
Improper fraction: 17/10
Mixed number: 1 7/10
Decimal: 1.7
[tex] 4\frac{1}{4} - 2\frac{11}{20} [/tex]
Change them into improper fractions by multiplying the denominator(bottom) by the whole number then adding the numerator
[tex] \frac{17}{4} [/tex] - [tex] \frac{51}{20} [/tex]
You must have a common denominator
Multiply [tex] \frac{17}{4} [/tex] by [tex] \frac{5}{5} [/tex]⇒[tex] \frac{85}{20} [/tex]
[tex] \frac{85}{20} [/tex]-[tex] \frac{51}{20} [/tex]=[tex] \frac{34}{20} [/tex]
Simplify by dividing the numerator by the denominator
34÷20=[tex] 1\frac{14}{20} [/tex]⇒[tex]1 \frac{7}{10} [/tex] reduced
You answer is [tex]1 \frac{7}{10} [/tex]