Solve 234/19div4=351/19+6

$$\frac { 234 } { 19 } \div 4 = \frac { 351 } { 19 } + 6$$

Verify

Solution Steps

Express \frac{\frac{234}{19}}{4} as a single fraction.

$$\frac{234}{19\times 4}=\frac{351}{19}+6$$

Multiply 19 and 4 to get 76.

$$\frac{234}{76}=\frac{351}{19}+6$$

Reduce the fraction \frac{234}{76} to lowest terms by extracting and canceling out 2.

$$\frac{117}{38}=\frac{351}{19}+6$$

Convert 6 to fraction \frac{114}{19}.

$$\frac{117}{38}=\frac{351}{19}+\frac{114}{19}$$

Since \frac{351}{19} and \frac{114}{19} have the same denominator, add them by adding their numerators.

$$\frac{117}{38}=\frac{351+114}{19}$$

Add 351 and 114 to get 465.

$$\frac{117}{38}=\frac{465}{19}$$

Least common multiple of 38 and 19 is 38. Convert \frac{117}{38} and \frac{465}{19} to fractions with denominator 38.

$$\frac{117}{38}=\frac{930}{38}$$

Compare \frac{117}{38} and \frac{930}{38}.

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