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c.
1=(1)/(4)c
c=(1)/(4)
d.
5(1)/(2)=d+(1)/(4)
(11)/(2)
e.
2e=6.4

6.4=2c=3.2

c. $1=\frac{1}{4} c$ $c=\frac{1}{4}$ $\newline$ d. $5 \frac{1}{2}=d+\frac{1}{4}$ $\frac{11}{2}$ $\newline$ e. $2 e=6.4$ $\newline$ $6.4=2 c=3.2$

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Solve one-step addition and subtraction equations with decimals and fractions

Full solution

Q. c.

1=\frac{1}{4} c

c=\frac{1}{4}

\newline

d.

5 \frac{1}{2}=d+\frac{1}{4}

\frac{11}{2}

\newline

e.

2 e=6.4

\newline

6.4=2 c=3.2

Isolate c: To solve for $c$ in the equation $1=\frac{1}{4}c$ , we need to isolate $c$ . $1 = \frac{1}{4}c$ Multiply both sides by $4$ to get $c$ by itself. $4 \times 1 = c$ $c = 4$
Convert mixed number: To solve for $d$ in the equation $5\frac{1}{2}=d+\frac{1}{4}$ , we first convert the mixed number to an improper fraction. $\newline$ $5\frac{1}{2} = \frac{5\times 2 + 1}{2} = \frac{11}{2}$ $\newline$ Now we have $\frac{11}{2} = d + \frac{1}{4}$ $\newline$ To isolate $d$ , we subtract $\frac{1}{4}$ from both sides. $\newline$ $\frac{11}{2} - \frac{1}{4} = d$ $\newline$ To subtract these fractions, we need a common denominator, which is $4$ . $\newline$ $\left(\frac{11}{2}\right) \times \left(\frac{2}{2}\right) - \left(\frac{1}{4}\right) = d$ $\newline$ $\left(\frac{22}{4}\right) - \left(\frac{1}{4}\right) = d$ $\newline$ $5\frac{1}{2}=d+\frac{1}{4}$ $0$
Isolate d: To solve for $e$ in the equation $2e=6.4$ , we need to isolate $e$ .
$2e = 6.4$
Divide both sides by $2$ to get $e$ by itself.
$e = \frac{6.4}{2}$
$e = 3.2$

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