Question

Express {15/4+5/40} as a decimal without actual division.

Answer 1

Here is the answer:

Multiply by 25 both numerator and denominator

(15*25/4*25)+(5*25/40*25)

(375/100)+(125/1000)

3.75+0.125

3.875 Answer

Answer 2

Answer:

$\frac{15}{4}+\frac{5}{40}= 3.875$

Step-by-step explanation:

$\frac{15}{4}+\frac{5}{40}\\=\frac{15}{4}+\frac{5}{5\times 2^{3}}\\=\frac{15}{2^{2}}+\frac{1}{2^{3}}\\=\frac{15\times 5^{2}}{2^{2}\times 5^{2}}+\frac{5^{3}}{2^{3}\times 5^{3}}\\=\frac{375}{100}+\frac{125}{1000}\\=3.75+0.125\\=3.875$

Therefore,

$\frac{15}{4}+\frac{5}{40}= 3.875$

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