Solve 4y+99/49/1+frac{1{49}}

$$\frac { 4 y + \frac { 99 } { 49 } } { 1 + \frac { 1 } { 49 } }$$

Evaluate

$$\frac{98y}{25}+\frac{99}{50}$$

Solution Steps

Convert 1 to fraction \frac{49}{49}.

$$\frac{4y+\frac{99}{49}}{\frac{49}{49}+\frac{1}{49}}$$

Since \frac{49}{49} and \frac{1}{49} have the same denominator, add them by adding their numerators.

$$\frac{4y+\frac{99}{49}}{\frac{49+1}{49}}$$

Add 49 and 1 to get 50.

$$\frac{4y+\frac{99}{49}}{\frac{50}{49}}$$

Divide 4y+\frac{99}{49} by \frac{50}{49} by multiplying 4y+\frac{99}{49} by the reciprocal of \frac{50}{49}.

$$\frac{\left(4y+\frac{99}{49}\right)\times 49}{50}$$

Use the distributive property to multiply 4y+\frac{99}{49} by 49.

$$\frac{196y+\frac{99}{49}\times 49}{50}$$

Cancel out 49 and 49.

$$\frac{196y+99}{50}$$

Expand

$$\frac{98y}{25}+\frac{99}{50}$$

Solution Steps

Convert 1 to fraction \frac{49}{49}.

$$\frac{4y+\frac{99}{49}}{\frac{49}{49}+\frac{1}{49}}$$

Since \frac{49}{49} and \frac{1}{49} have the same denominator, add them by adding their numerators.

$$\frac{4y+\frac{99}{49}}{\frac{49+1}{49}}$$

Add 49 and 1 to get 50.

$$\frac{4y+\frac{99}{49}}{\frac{50}{49}}$$

Divide 4y+\frac{99}{49} by \frac{50}{49} by multiplying 4y+\frac{99}{49} by the reciprocal of \frac{50}{49}.

$$\frac{\left(4y+\frac{99}{49}\right)\times 49}{50}$$

Use the distributive property to multiply 4y+\frac{99}{49} by 49.

$$\frac{196y+\frac{99}{49}\times 49}{50}$$

Cancel out 49 and 49.

$$\frac{196y+99}{50}$$