same value for different data type, comparison?

Can any explain why the below program is giving false as output,

#include<iostream>
using namespace std;
int main(){
    float a = 1.52;
    double b = 1.52;
    if(a == b){
        cout << "True\n";
    }else{
        cout << "False\n";
    }
    return 0;
}

Both has the same value still the output is false. I understand that 7 decimal bit are available for float and 15 decimal bit are there for double. But we assign the same value for both the variables.

Thanks.