Solve 3419.46+4298.6/252

$$3419.46+ \frac{ 4298.6 }{ 252 }$$

Evaluate

$$\frac{21650063}{6300}\approx 3436.517936508$$

Solution Steps

Expand \frac{4298.6}{252} by multiplying both numerator and the denominator by 10.

$$3419.46+\frac{42986}{2520}$$

Reduce the fraction \frac{42986}{2520} to lowest terms by extracting and canceling out 2.

$$3419.46+\frac{21493}{1260}$$

Convert decimal number 3419.46 to fraction \frac{341946}{100}. Reduce the fraction \frac{341946}{100} to lowest terms by extracting and canceling out 2.

$$\frac{170973}{50}+\frac{21493}{1260}$$

Least common multiple of 50 and 1260 is 6300. Convert \frac{170973}{50} and \frac{21493}{1260} to fractions with denominator 6300.

$$\frac{21542598}{6300}+\frac{107465}{6300}$$

Since \frac{21542598}{6300} and \frac{107465}{6300} have the same denominator, add them by adding their numerators.

$$\frac{21542598+107465}{6300}$$

Add 21542598 and 107465 to get 21650063.

$$\frac{21650063}{6300}$$

Factor

$$\frac{19 \cdot 293 \cdot 3889}{7 \cdot 2 ^ {2} \cdot 3 ^ {2} \cdot 5 ^ {2}} = 3436\frac{3263}{6300} = 3436.5179365079366$$