Solve 2.4*3.7+2.45*0.3+4.64*4.45+4.56*4.45/2=4

$$2.4 \times 3.7 + 2.45 \times 0.3 + 4.64 \times 4.45 + 4.56 \times 4.45 / 2 = 4$$

Verify

Solution Steps

Multiply 2.4 and 3.7 to get 8.88.

$$8.88+2.45\times 0.3+4.64\times 4.45+4.56\times \frac{4.45}{2}=4$$

Multiply 2.45 and 0.3 to get 0.735.

$$8.88+0.735+4.64\times 4.45+4.56\times \frac{4.45}{2}=4$$

Add 8.88 and 0.735 to get 9.615.

$$9.615+4.64\times 4.45+4.56\times \frac{4.45}{2}=4$$

Multiply 4.64 and 4.45 to get 20.648.

$$9.615+20.648+4.56\times \frac{4.45}{2}=4$$

Add 9.615 and 20.648 to get 30.263.

$$30.263+4.56\times \frac{4.45}{2}=4$$

Expand \frac{4.45}{2} by multiplying both numerator and the denominator by 100.

$$30.263+4.56\times \frac{445}{200}=4$$

Reduce the fraction \frac{445}{200} to lowest terms by extracting and canceling out 5.

$$30.263+4.56\times \frac{89}{40}=4$$

Convert decimal number 4.56 to fraction \frac{456}{100}. Reduce the fraction \frac{456}{100} to lowest terms by extracting and canceling out 4.

$$30.263+\frac{114}{25}\times \frac{89}{40}=4$$

Multiply \frac{114}{25} times \frac{89}{40} by multiplying numerator times numerator and denominator times denominator.

$$30.263+\frac{114\times 89}{25\times 40}=4$$

Do the multiplications in the fraction \frac{114\times 89}{25\times 40}.

$$30.263+\frac{10146}{1000}=4$$

Reduce the fraction \frac{10146}{1000} to lowest terms by extracting and canceling out 2.

$$30.263+\frac{5073}{500}=4$$

Convert decimal number 30.263 to fraction \frac{30263}{1000}.

$$\frac{30263}{1000}+\frac{5073}{500}=4$$

Least common multiple of 1000 and 500 is 1000. Convert \frac{30263}{1000} and \frac{5073}{500} to fractions with denominator 1000.

$$\frac{30263}{1000}+\frac{10146}{1000}=4$$

Since \frac{30263}{1000} and \frac{10146}{1000} have the same denominator, add them by adding their numerators.

$$\frac{30263+10146}{1000}=4$$

Add 30263 and 10146 to get 40409.

$$\frac{40409}{1000}=4$$

Convert 4 to fraction \frac{4000}{1000}.

$$\frac{40409}{1000}=\frac{4000}{1000}$$

Compare \frac{40409}{1000} and \frac{4000}{1000}.

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