Solve 25/196+4/49

$$\frac{ 25 }{ 196 } + \frac{ 4 }{ 49 }$$

Evaluate

$$\frac{41}{196}\approx 0.209183673$$

Solution Steps

Least common multiple of 196 and 49 is 196. Convert \frac{25}{196} and \frac{4}{49} to fractions with denominator 196.

$$\frac{25}{196}+\frac{16}{196}$$

Since \frac{25}{196} and \frac{16}{196} have the same denominator, add them by adding their numerators.

$$\frac{25+16}{196}$$

Add 25 and 16 to get 41.

$$\frac{41}{196}$$

Factor

$$\frac{41}{2 ^ {2} \cdot 7 ^ {2}} = 0.20918367346938777$$