What is expand 1+3/(2+\frac{4){1-1/4}} ?

The solution to expand 1+3/(2+\frac{4){1-1/4}} is 31/22

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expand 1+3/(2+\frac{4){1-1/4}}

expand

1 + \frac{3}{2 + \frac{4}{1 - \frac{1}{4}}}

\frac{31}{22}

Decimal Notation

1.40909 \dots

Solution steps

1 + \frac{3}{2 + \frac{4}{1 - \frac{1}{4}}}

\frac{3}{2 + \frac{4}{1 - \frac{1}{4}}} = \frac{9}{22}

= 1 + \frac{9}{22}

Convert element to fraction:

1 = \frac{1 \cdot 22}{22}

= \frac{1 \cdot 22}{22} + \frac{9}{22}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{1 \cdot 22 + 9}{22}

1 \cdot 22 + 9 = 31

= \frac{31}{22}

(y - x)^{2} \cdot \frac{2 x ^{3}}{3}

(x^{3} + 3 x^{2} + 6 x + 4)^{5}

tan (h) (x + y)

\frac{d}{d q} ((R (q)) (q^{4} + 1)^{7})

\frac{3 x}{( x - 8 ) ( x + 5 )}

What is expand 1+3/(2+\frac{4){1-1/4}} ?
The solution to expand 1+3/(2+\frac{4){1-1/4}} is 31/22