Solve 4.44(1/8+1/10)=1

$$4.44 ( \frac { 1 } { 8 } + \frac { 1 } { 10 } ) = 1$$

Verify

Solution Steps

Least common multiple of 8 and 10 is 40. Convert \frac{1}{8} and \frac{1}{10} to fractions with denominator 40.

$$4.44\left(\frac{5}{40}+\frac{4}{40}\right)=1$$

Since \frac{5}{40} and \frac{4}{40} have the same denominator, add them by adding their numerators.

$$4.44\times \frac{5+4}{40}=1$$

Add 5 and 4 to get 9.

$$4.44\times \frac{9}{40}=1$$

Convert decimal number 4.44 to fraction \frac{444}{100}. Reduce the fraction \frac{444}{100} to lowest terms by extracting and canceling out 4.

$$\frac{111}{25}\times \frac{9}{40}=1$$

Multiply \frac{111}{25} times \frac{9}{40} by multiplying numerator times numerator and denominator times denominator.

$$\frac{111\times 9}{25\times 40}=1$$

Do the multiplications in the fraction \frac{111\times 9}{25\times 40}.

$$\frac{999}{1000}=1$$

Convert 1 to fraction \frac{1000}{1000}.

$$\frac{999}{1000}=\frac{1000}{1000}$$

Compare \frac{999}{1000} and \frac{1000}{1000}.

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