Solve 0.5231+10.375div4.32*0.521

$$0.5231 + 10.375 \div 4.32 \times 0.521$$

Evaluate

$$\frac{7665167}{4320000}\approx 1.774344213$$

Solution Steps

Expand \frac{10.375}{4.32} by multiplying both numerator and the denominator by 1000.

$$0.5231+\frac{10375}{4320}\times 0.521$$

Reduce the fraction \frac{10375}{4320} to lowest terms by extracting and canceling out 5.

$$0.5231+\frac{2075}{864}\times 0.521$$

Convert decimal number 0.521 to fraction \frac{521}{1000}.

$$0.5231+\frac{2075}{864}\times \frac{521}{1000}$$

Multiply \frac{2075}{864} times \frac{521}{1000} by multiplying numerator times numerator and denominator times denominator.

$$0.5231+\frac{2075\times 521}{864\times 1000}$$

Do the multiplications in the fraction \frac{2075\times 521}{864\times 1000}.

$$0.5231+\frac{1081075}{864000}$$

Reduce the fraction \frac{1081075}{864000} to lowest terms by extracting and canceling out 25.

$$0.5231+\frac{43243}{34560}$$

Convert decimal number 0.5231 to fraction \frac{5231}{10000}.

$$\frac{5231}{10000}+\frac{43243}{34560}$$

Least common multiple of 10000 and 34560 is 4320000. Convert \frac{5231}{10000} and \frac{43243}{34560} to fractions with denominator 4320000.

$$\frac{2259792}{4320000}+\frac{5405375}{4320000}$$

Since \frac{2259792}{4320000} and \frac{5405375}{4320000} have the same denominator, add them by adding their numerators.

$$\frac{2259792+5405375}{4320000}$$

Add 2259792 and 5405375 to get 7665167.

$$\frac{7665167}{4320000}$$

Factor

$$\frac{7665167}{2 ^ {8} \cdot 3 ^ {3} \cdot 5 ^ {4}} = 1\frac{3345167}{4320000} = 1.774344212962963$$