Solve for X -
1) 16/5x = 1/10
Answers
Answer:
1/32
S
6
5
⋅
=
1
1
0
\frac{16}{5} \cdot x=\frac{1}{10}
516⋅x=101
Solve
1
Combine multiplied terms into a single fraction
1
6
5
=
1
1
0
\frac{16}{5}x=\frac{1}{10}
516x=101
1
6
5
=
1
1
0
\frac{16x}{5}=\frac{1}{10}
516x=101
2
Multiply all terms by the same value to eliminate fraction denominators
1
6
5
=
1
1
0
\frac{16x}{5}=\frac{1}{10}
516x=101
5
⋅
1
6
5
=
5
⋅
1
1
0
5 \cdot \frac{16x}{5}=5 \cdot \frac{1}{10}
5⋅516x=5⋅101
3
Cancel multiplied terms that are in the denominator
5
⋅
1
6
5
=
5
⋅
1
1
0
5 \cdot \frac{16x}{5}=5 \cdot \frac{1}{10}
5⋅516x=5⋅101
1
6
=
5
⋅
1
1
0
16x=5 \cdot \frac{1}{10}
16x=5⋅101
4
Multiply the numbers
1
6
=
5
⋅
1
1
0
16x={\color{#c92786}{5}} \cdot {\color{#c92786}{\frac{1}{10}}}
16x=5⋅101
1
6
=
1
2
16x={\color{#c92786}{\frac{1}{2}}}
16x=21
5
Divide both sides of the equation by the same term
1
6
=
1
2
16x=\frac{1}{2}
16x=21
1
6
1
6
=
1
2
1
6
\frac{16x}{{\color{#c92786}{16}}}=\frac{\frac{1}{2}}{{\color{#c92786}{16}}}
1616x=1621
6
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
1
3
2