Answer:
1
Step-by-step explanation:
Simplify \frac{2}{8}
8
2
to \frac{1}{4}
4
1
.
5\frac{1}{4}-4\frac{1}{4}
5
4
1
−4
4
1
2 Convert 5\frac{1}{4}5
4
1
to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
c
b
=
c
ac+b
.
\frac{5\times 4+1}{4}-4\frac{1}{4}
4
5×4+1
−4
4
1
3 Simplify 5\times 45×4 to 2020.
\frac{20+1}{4}-4\frac{1}{4}
4
20+1
−4
4
1
4 Simplify 20+120+1 to 2121.
\frac{21}{4}-4\frac{1}{4}
4
21
−4
4
1
5 Convert 4\frac{1}{4}4
4
1
to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
c
b
=
c
ac+b
.
\frac{21}{4}-\frac{4\times 4+1}{4}
4
21
−
4
4×4+1
6 Simplify 4\times 44×4 to 1616.
\frac{21}{4}-\frac{16+1}{4}
4
21
−
4
16+1
7 Simplify 16+116+1 to 1717.
\frac{21}{4}-\frac{17}{4}
4
21
−
4
17
8 Join the denominators.
\frac{21-17}{4}
4
21−17
9 Simplify.
1
1
